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Paper Citation Record · LEDGER

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones

As of 23 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 3 inbound Pith citation observations for arXiv:2505.07221.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.07221 v2

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:33:37.525234Z

measured 53 of 53 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T03:26:57.925455Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-06-29T10:03:17.221053Z

Reference resolution

50 of 50 outbound references displayed

  • verified exact2
  • verified fuzzy32
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ced02da8-69f9-4da3-9796-071f2e32ae18 · outbound

This paper cites Bachmann, T.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Bachmann, T

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:39.072284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.334364Z digest=sha256:712a4ace1ffb413be2027708228087f28e948e07dfda0941cf744fb61b684982

Observation a769a5f8-0c84-49b5-933a-0406d51bb878 · outbound

This paper cites Brindle,A unified approach toqMZVs, INTEGERS24(2024), Paper No.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Brindle,A unified approach toqMZVs, INTEGERS24(2024), Paper No

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:39.062522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.398250Z digest=sha256:eb761f6b8444eb53072ae0880394cf8a817f1f5bba9273209923991e372e692a

Observation d053ae0e-a2d4-4577-8a8d-d57c89031e9f · outbound

This paper cites an unresolved cited work.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:33:39.049018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.402858Z digest=sha256:408e89cd88eddc4e5dfb0a29b03ceb2a9e1a76ae00b1cb9268b8064a29133ca2

Observation 5f5164a7-d609-4f70-b39e-c937a0766973 · outbound

This paper cites an unresolved cited work.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:33:38.969446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.406649Z digest=sha256:54e54ad1ca3eefb7c906e84013e0d40d41a0f96248f1d6625453243ed93d00de

Observation b66351c6-038f-4633-b13a-efc2f28b7cb6 · outbound

This paper cites an unresolved cited work.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:33:38.889133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.410625Z digest=sha256:5601d9d824ad4ab74173437bcfa3fb41523bc6b511c77eacb1ccacaceae0f05c

Observation 4529755e-aa23-4a4f-a391-2af2a7fef3cc · outbound

This paper cites an unresolved cited work.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:33:38.879663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.414132Z digest=sha256:82af89f1419bae96d3c470b3873a49a1cbf509bd8e8f5c0debe1f18b557b6c55

Observation 432f34a0-d72b-4c38-a97c-fb8644aa2172 · outbound

This paper cites Chang, Y.-T.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Chang, Y.-T

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.869943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.418190Z digest=sha256:4e3d056ac9e7028f67fe7c9012b9098561667507cd2b3b6e1c2ce940fdf74ed9

Observation 3c99cd2e-62bb-45d9-8f28-8432ae90b32a · outbound

This paper cites Deligne,Le groupe fondamental unipotent motivique deG m−µ N, pourN= 2,3,4,6ou8, Publ.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Deligne,Le groupe fondamental unipotent motivique deG m−µ N, pourN= 2,3,4,6ou8, Publ

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.860520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.421217Z digest=sha256:0cfc214590ee08025603e129dfa2675544a0b284f844cdb65036cc24c34640f0

Observation 360da36f-54ff-4cf5-bf31-5701e491517e · outbound

This paper cites Deligne, A.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Deligne, A

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.851011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.424629Z digest=sha256:12fe3c616111c65b4f7f47ff1699d0efff72cab8bcfe9570352b2455c40ae9ae

Observation 48661e35-7236-49a2-9993-715875ec40a7 · outbound

This paper cites Ecalle,The flexion structure and dimorphy: flexion units, singulators, generators, and the enumeration of multizeta irreducibles, With computational assistance from S.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Ecalle,The flexion structure and dimorphy: flexion units, singulators, generators, and the enumeration of multizeta irreducibles, With computational assistance from S

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.840810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.459056Z digest=sha256:684ea9096b0ac96b9cb2981a5b12b9ae4932cfc779b4063c1f51f91c9d1af621

Observation d6f2cb8c-245f-4ecc-887d-b65a5e49db0c · outbound

This paper cites Furusho,Double shuffle relation for associators, Ann.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Furusho,Double shuffle relation for associators, Ann

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.770718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.531081Z digest=sha256:c49d0fa9876aac62e0a9ee8a31a5b7e5b237824bf4a3c00be068569f1bca4baa

Observation 42daff70-2a30-485e-b849-b547b9be2c09 · outbound

This paper cites Furusho,The pentagon equation and the confluence relations, Amer.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Furusho,The pentagon equation and the confluence relations, Amer

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.705095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.627844Z digest=sha256:798e987e27bdc351768ffa8273011ad51b6703ad162f44fd854a2dbd3eaf35d2

Observation 6986a442-2870-453c-b518-612c58fbe358 · outbound

This paper cites Unramified Euler sums and Hoffman $\star$ basis.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unramified Euler sums and Hoffman $\star$ basis

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-15T22:33:36.682078Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:33:36.682078Z digest=sha256:f2a922d61c79004fbcad5b49363322d33f99975e8369595edcccfe76199aab81

Observation e6cce67f-f849-4be1-b49a-b97140a28a0e · outbound

This paper cites A discretization of the iterated integral expression of the multiple polylogarithm.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones A discretization of the iterated integral expression of the multiple polylogarithm

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-15T22:33:36.686161Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:33:36.686161Z digest=sha256:dc7bb757b73e7ca4ba767b2e0f076b6b7dce8516385772a6ad0e6996bbb97809

Observation 7e4093f9-2a8b-41b6-9613-1b0dd252c4be · outbound

This paper cites Hirose, H.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Hirose, H

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.667243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.690017Z digest=sha256:f78ff250c0531eda43b5ce631f5f3d593ec65801b09a5d42870f9bc6952729f6

Observation f75c8949-9cdd-42f5-a7a1-d4f615118021 · outbound

This paper cites Hirose, H.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Hirose, H

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.658333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.694267Z digest=sha256:c537adc52541bc2f12e7f258a69f9b8ea882bc2d0c6233c7bc998a20371c912e

Observation c6f3eb9d-145a-4765-9cd3-b88e277a7973 · outbound

This paper cites Hirose, N.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Hirose, N

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.648382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.697604Z digest=sha256:a4d9bd4547bf51dbb1b2ba5a50f2e619da3a2ca169f8d1dd9295663b934ef098

Observation 76cc63ba-070a-47d8-b000-c2d1f40a56fb · outbound

This paper cites The motivic Galois group of mixed Tate motives over $\mathbb{Z}[1/2]$ and its action on the fundamental group of $\mathbb{P}^{1}\setminus\{0,\pm1,\infty\}$.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones The motivic Galois group of mixed Tate motives over $\mathbb{Z}[1/2]$ and its action on the fundamental group of $\mathbb{P}^{1}\setminus\{0,\pm1,\infty\}$

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-15T22:33:37.623569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.700952Z digest=sha256:3fa5e79952b0b10d279ca3d9d32c09c7e5592eacac68a82408f3cd9694563006

Observation 4ae01cb3-5e5b-4b38-b95f-ab91ced5fcdc · outbound

This paper cites Block shuffle identities for multiple zeta values.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Block shuffle identities for multiple zeta values

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-15T22:33:37.569254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.704734Z digest=sha256:496fac408c6c113523743d438df1e27a17957a5f5dcf2ff70ff4f74fa88d3170

Observation d9aefe60-91c0-4950-be71-a68819072488 · outbound

This paper cites an unresolved cited work.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:33:38.639086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.708621Z digest=sha256:92253d8f7690f82a5b86cb219d609f92ab609cf3950c479c0fcfa0228e60f986

Observation a3def2af-168d-4856-846b-cbed22fc6def · outbound

This paper cites an unresolved cited work.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:33:38.629587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.712251Z digest=sha256:535d12d5d144aa74b978313adf6ff8f7331945efbf463532156f3b2487b5519f

Observation c2719b31-dfe0-4e56-a625-7d841b1b5e1b · outbound

This paper cites Hoffman, Y.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Hoffman, Y

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.620340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.715660Z digest=sha256:d3350a24c4e189292e30b7bd6a2d3b61c134810f7c4cd3e30bc4b97d9e16d730

Observation 10754d7c-40ec-4616-adb9-39d3424e79cb · outbound

This paper cites Ihara, J.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Ihara, J

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.611218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.733024Z digest=sha256:00a9749f0f4326d440d662d71ed59bbbd97789b9e80ab5d579d0c2aea2ff3bb9

Observation 65f3cd95-a5d4-4c33-bdd1-6f786b18ec73 · outbound

This paper cites Ihara, M.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Ihara, M

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.601335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.800020Z digest=sha256:b82609d770629debdeb8e6bf0eb54d6e5bb23cb0aabbfc6fe03c22a552097e67

Observation b5fdd153-e8a1-42be-9eb2-ad97fbd071ce · outbound

This paper cites an unresolved cited work.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:33:38.562204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.865652Z digest=sha256:a39b5459c81532a98da6ece7ed84ac199d8dc20fdb20d20d30db9711b2b57307

Observation 93f33b82-9a4a-4229-be47-378666eeddc6 · outbound

This paper cites Kaneko, M.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Kaneko, M

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.466189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.959804Z digest=sha256:0f2e051057fb156a8e6459b6805c71247d20d0a55ca6ac960590f837679d2fc3

Observation 89c5f865-15bf-483d-8fa8-a959ea832a2e · outbound

This paper cites Kaneko, C.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Kaneko, C

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.382369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.963832Z digest=sha256:8f1e3c0733de31a86585ec3240b0731b3f36861b77b0a8a173fdaa9889930293

Observation 43dce2cc-08e0-4482-8a13-2b83a4322f60 · outbound

This paper cites Kaneko, S.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Kaneko, S

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.373020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.966597Z digest=sha256:1b94fb4695df213fb371150b6fb6e202afa95eef6d69ff0b3b1086aa5119acba

Observation d3db6956-77d9-4fb3-8450-1be04cb139a0 · outbound

This paper cites Kawashima,A class of relations among multiple zeta values, J.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Kawashima,A class of relations among multiple zeta values, J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.362426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.970211Z digest=sha256:078e008131eadc95c3094deb2d2336a01e020a960615d17114c35b91bf55d0a3

Observation bc8b14f2-7613-46ed-8964-8d6bec597d45 · outbound

This paper cites Kimura,Intersection of duality and derivation relations for multiple zeta values, J.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Kimura,Intersection of duality and derivation relations for multiple zeta values, J

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.353236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.973554Z digest=sha256:8dcae01a95b764fd31a5c30ba2704101d484d24b11421298dfd49ed489ce9d63

Observation d5bdea6f-5c39-4ed3-a5f0-9560d3ff0930 · outbound

This paper cites Linebarger, J.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Linebarger, J

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.343619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.976797Z digest=sha256:1ab5f5d1ee811005647be5471ac981160c60f46bea7eebc4003d1a9592137bba

Observation f9c941ca-766b-4585-80d8-637339ac73ff · outbound

This paper cites Deriving two dualities simultaneously from a family of identities for multiple harmonic sums.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Deriving two dualities simultaneously from a family of identities for multiple harmonic sums

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-15T22:33:36.979601Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:33:36.979601Z digest=sha256:981f4005570a994e89303f82ba3b29b67f5ac834bab4c6c6f4c9e2711b29a83a

Observation 30644154-3217-409f-91bb-29846f5078e9 · outbound

This paper cites Murahara, M.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Murahara, M

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.324553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.983340Z digest=sha256:d2ddcd7983af75e98b07ff823838092417e06f3bbb7616fb0b72b710d57672a7

Observation 5e279bef-dd6b-4da3-8792-40629d1c44a9 · outbound

This paper cites Ngo Dac,On Zagier–Hoffman’s conjectures in positive characteristic, Ann.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Ngo Dac,On Zagier–Hoffman’s conjectures in positive characteristic, Ann

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.192473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.986870Z digest=sha256:ce06327b2cc597244d358ec41d9c839ccc71806422429ecb43c0aba0b85d05d7

Observation 9a26a036-dbf0-4dcc-9db5-957d32b27977 · outbound

This paper cites Ohno,A generalization of the duality and sum formulas on the multiple zeta values, J.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Ohno,A generalization of the duality and sum formulas on the multiple zeta values, J

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.112853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.990997Z digest=sha256:2a8d66b375a9f0d90bc0fc4b6d0c656c4db74ed585f617f203dda8081be23b91

Observation 4b4ba904-093c-47e4-939f-5b5dc13bf00c · outbound

This paper cites Seki,Connectors, RIMS Kˆ okyˆ uroku2160(2020), 15–27.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Seki,Connectors, RIMS Kˆ okyˆ uroku2160(2020), 15–27

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.102145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.994952Z digest=sha256:63190cb57e5083b768f9b9e2e207108deef951b81bcc6c38899e6e13c87c3d09

Observation 2b4836fe-1f28-4dda-a477-5a45b7670941 · outbound

This paper cites Seki,A proof of the extended double shuffle relation without using integrals, Kyushu J.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Seki,A proof of the extended double shuffle relation without using integrals, Kyushu J

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.092881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:36.997711Z digest=sha256:ad22e87f4c1c854e3aa2b7cfa1b26caa62857f85303c99fc36bf3b83a062e9f7

Observation 32d7c4a6-1e3b-4205-add6-6fd027904a86 · outbound

This paper cites an unresolved cited work.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:33:38.083431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:37.053972Z digest=sha256:fe307e39a9f8a972a29cc38e95b2af7d7a6f1953f2fd3397292b12ebb9f00454

Observation afb8fab8-ff67-4bf8-9344-4844681cfc25 · outbound

This paper cites an unresolved cited work.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:33:38.074152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:37.142498Z digest=sha256:0bf0ea063613d9c0d933414f092dc3420c9bf92ac0b1876f69f4c636bba8ae17

Observation 18aa897c-de05-48f3-941a-38c97fb51377 · outbound

This paper cites an unresolved cited work.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:33:38.065237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:37.238218Z digest=sha256:839f262c36e6837edca098be83a6aa58208f05b9f7714a93571fca8f1a0edef9

Observation 873bc82b-5a0e-4cfa-b68c-e984cb8fc101 · outbound

This paper cites Tanaka,On the quasi-derivation relation for multiple zeta values, J.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Tanaka,On the quasi-derivation relation for multiple zeta values, J

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:38.054534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:37.295316Z digest=sha256:475b7a814f00573bee964d5751e62c27ce06becf42c73f3b231640f778a15a76

Observation 289ff08c-5b0c-41ce-b430-75be90321c1e · outbound

This paper cites Tanaka, N.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Tanaka, N

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:37.956900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:37.376220Z digest=sha256:bfc25617cf36706de54059a2332e55c8068218b8bd1410dcd7add16453ae41e5

Observation 608a6cda-cc20-4733-9c84-71667201df2e · outbound

This paper cites Terasoma,Mixed Tate motives and multiple zeta values, Invent.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Terasoma,Mixed Tate motives and multiple zeta values, Invent

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:37.879596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:37.485991Z digest=sha256:bd596101a32eb71a5d1675977c26276f5c159d92a61229ecece61e9f033fd1f4

Observation 94176b8f-bc8a-487d-b77e-4f2b98e037c1 · outbound

This paper cites an unresolved cited work.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:33:37.869928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:37.504432Z digest=sha256:cb616e232884033960e667f436132b9798a629f2e8e78535281ec756599434cd

Observation 0762accc-6c6e-461b-88cb-e959175b9620 · outbound

This paper cites Todd,A conjectural characterization forF q(t)-linear relations between multizeta values, J.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Todd,A conjectural characterization forF q(t)-linear relations between multizeta values, J

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:37.860332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:37.507404Z digest=sha256:6030eb31ad402b3261991171b12832c3ff5279606f3ee9fa9e37a266fc847deb

Observation 9950d66c-579f-4637-b7a1-ce11d21c6db5 · outbound

This paper cites Yamamoto,Explicit evaluation of certain sums of multiple zeta-star values, Funct.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Yamamoto,Explicit evaluation of certain sums of multiple zeta-star values, Funct

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:37.849272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:37.510870Z digest=sha256:bd2f0d0370fd35c12a07a29ac3c32d1f0978cd4de8f76421ff4fdf35e86166d4

Observation 1f597b61-4c03-4bb5-9643-601dcc04ba9b · outbound

This paper cites Yamamoto,Interpolation of multiple zeta and zeta-star values, J.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Yamamoto,Interpolation of multiple zeta and zeta-star values, J

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:37.839204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:37.514058Z digest=sha256:336be8dfb63088783d3d2e63c23b7bba06b3826ee1ce87eafe3c0ac512ee9d93

Observation db350135-1288-48f2-8b27-e96ada271e43 · outbound

This paper cites Yamamoto,A note on Kawashima functions, Publ.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Yamamoto,A note on Kawashima functions, Publ

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:33:37.828410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:37.517302Z digest=sha256:773e9e36d33bbfeb55f3641c5e22f625ece07359fd1c905944ba6507d23e7b6f

Observation bc4bb50c-79f7-4953-9029-79b79dde4e69 · outbound

This paper cites an unresolved cited work.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:33:37.817807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:37.521664Z digest=sha256:411ae0dda0698e221b83d592c734095a73758220c022de3aa02a8d37fac4d034

Observation 59e69041-1a37-4701-a19d-2381871f51ea · outbound

This paper cites an unresolved cited work.

The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:33:37.784302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T22:33:37.525234Z digest=sha256:96da3e345aa2ba620cf59ba0a98af7f45d9c1aea8397455c7b2f2bb0e03e6932

Pith citing papers

Observation 9959a4ec-df89-45ed-8be1-d32ae7315298 · inbound

Relations and Derivatives of Multiple Eisenstein Series cites this paper.

Relations and Derivatives of Multiple Eisenstein Series The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-03T03:26:57.925455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T03:26:57.925455Z digest=sha256:a063fe3a96638ff7d6be27a6dee0761db477d5a182f7c1a0038f8a2267a35ef4

Observation 999feb79-9779-428b-96bb-51a58682b088 · inbound

The threshold for linear independence of multiple zeta values in positive characteristic cites this paper.

The threshold for linear independence of multiple zeta values in positive characteristic The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones

Reference 25

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:36:17.358176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-07T14:53:13.577674Z digest=sha256:cde58143f713ef5888f0f7f8e8c67800c9a988b89b68efb07456d22571e498fa

Observation d5eea9ef-ef6f-4f0c-94aa-2e6a1bbabb67 · inbound

A unified proof of conjectures on the spaces of multiple $q$-zeta values cites this paper.

A unified proof of conjectures on the spaces of multiple $q$-zeta values The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-06-29T10:03:17.222773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-06-29T09:56:27.021374Z digest=sha256:d03b29565bd513fdd5fb5e223d3c39a399e3ee32eaaf32a7558cc398addac986