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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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.334364Z digest=sha256:8a25bfc74d41a89129cebf3e0b4eb41c574717d192a19f081f8487b806cc2966

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.398250Z digest=sha256:e9c8348e0704b92fc5e2083838f414b1fa604b6ec121c40467831ea8dd93b5cd

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.402858Z digest=sha256:55066e0e8d2c9193114f915bc2855d533b6757a61082d72eb07a08c46df5ff38

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.406649Z digest=sha256:ef32446c1a105e6cb87a872352118ec197dd7520d55f808b6737949b00a5a83d

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.410625Z digest=sha256:f9de53a8f890eb59d425e9a9a38654119783d1d65f81c2b6cf33b19577a22da5

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.414132Z digest=sha256:8bf456868c0a558c432a7cf339559cb4ffbdfd68eb06372974e195b91e6ac909

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.418190Z digest=sha256:a1e6ec0199c132e38f2f328a2d460db316ae5daa52e854218d2a6190552ed476

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.421217Z digest=sha256:b2de7872625b5c1a4cb2e3b13bd2034c676ee00b9e9edef1c00371a11b79a9b6

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.424629Z digest=sha256:2a267be55557eb58c923320574911d48d3648d57dcc531e4a9af2b3f2995ece3

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.459056Z digest=sha256:36bc0f20cd32092bf9a00382c6ecf437eac0ba424f2637cff49cdeec5109a42f

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.531081Z digest=sha256:931e602e1b75b477e83ad9268d44d959fa8dc1050c8f3713eee2faca6af70c76

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.627844Z digest=sha256:0dc6cf003c7b52d3baf7cdef556acabf1bf556d5e82212df599b51978b85ce3a

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.690017Z digest=sha256:6a81bd88ae51389095a7e243d1fe751630c1503f0c6dfb8028b3ffeb4c27541e

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.694267Z digest=sha256:37fcb02f01f82fba1146e9d325119ff622b2351426dec35420cdb93033e39c28

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.697604Z digest=sha256:d88ba52c2d6d3265dd68d680b16d584e682eaad5ade5aa7dbd2efdc3bfe43058

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.700952Z digest=sha256:8ad34d85a77401cc3e53363607c3fd744d5df5e8d397f18037cdbb575e37efb5

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.704734Z digest=sha256:fe0030a22e9c9130931ca7bf9e2a639db6f7ac4d52a30fd7562913041fa8e6e8

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.708621Z digest=sha256:e31d7aa6c9ded24449b292a66b4ea2bdc69547c4c1e35dfbbb67558ff1db3867

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.712251Z digest=sha256:736ff4b1a355e57a9404809139d4edce0304850f3f5fb6d46514b83cb4afb63a

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.715660Z digest=sha256:659e76ed83f5138e026dd242959d5f0859f3e812e20914faa71d1527746c0ced

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.733024Z digest=sha256:5b1da4baa6f75d3227777361f798fffa793978cebbc2bd75484a37b0c77bbb06

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.800020Z digest=sha256:417441ee47e6a4ce32eca48cc2e9f25e08688741ea00f40a873c47380775619e

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.865652Z digest=sha256:778509234eee49f464436633aa6a141588aea0d66665eba4eb91a804b5d27e16

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.959804Z digest=sha256:00967ee5206eb08f17bb2ab2d23b58c9e0a0c28e8fe212396f11e04b08fcfefa

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.963832Z digest=sha256:e09c3e340ce99336cbdacdb19a29d22a380fd78f5db9d06f7e6ec5916f0cebc6

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.966597Z digest=sha256:5bf92083226087e299c657ffa7c38cf541b9e67ba14642bafd0023d7f7f149b1

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.970211Z digest=sha256:0f40ffaf940417d47d451f173c4cff7693d41466524b01a83f537a49d99228c3

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.973554Z digest=sha256:5adb77c1ffbdd4c4f79bd49aebaea1e88ba39e71623d28da22163468dd75a281

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.976797Z digest=sha256:8ed62b1199dc0805b8553a0c438aceb2e5bb171b6920d22e2fb4b959da239876

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.983340Z digest=sha256:25d6d265d1c52001d709b21826ba5e781fb8f7c0ae6917faba8cbde340a06558

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.986870Z digest=sha256:36a9b25076139a093ff473d0cf3df04f3dd577ec49becc52415125c3c5e26266

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.990997Z digest=sha256:1aeae84a24ff96e689a09abbd627ceb061c05d135665ff4b4737b71edc04f9ed

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.994952Z digest=sha256:e74372336abe5e4282a5334b428f8a778832ef32942acf05fab4e9716a5ef743

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:36.997711Z digest=sha256:569c65315c94043f78707583edf93ca82653280ef31e169af4c5deb24b5aefc7

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:37.053972Z digest=sha256:4b63bb93d79e029fb8752410eafcab8c9f1c2f222a309c4cbcf2e40367c5eef8

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:37.142498Z digest=sha256:ef6fc180d5f47beec716208f872448cbb4553cb7d81d36cb34399f0860ef0ab5

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:37.238218Z digest=sha256:6b2adbe03e259cb6fe4c734fcf0168574149dd4adf9a3091e11e9f2ad4e4dab3

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:37.295316Z digest=sha256:7941f6f9afd93a5ce2d152790486ee37bd8ada27ee137132fc49a6255969e442

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:37.376220Z digest=sha256:8b4fa96f4454fb9c415d4408fab3fd673e1bf52e0c88f19e6bb70b362f9a5feb

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:37.485991Z digest=sha256:e9fa33dc96c2454806acef467f065052d4a681af987d73fa6e647683208faa8b

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:37.504432Z digest=sha256:6233557099f9d056e277a5ccd55e039374fdd540bb1969738ad9067444ab97a7

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:37.507404Z digest=sha256:f2f80353ed7ac8cd07580dcd63fd37d17d95ce321144ed0903dc6cbaf5b939e5

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:37.510870Z digest=sha256:ce6c583fe8a1a4fcd80e95689d1a2e9a93dd4110c51e9b22990dff3d19f83853

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:37.514058Z digest=sha256:ce11f723237397387912fdcb72f486acf123ba785c33d48cb3bd2d612efe412a

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:37.517302Z digest=sha256:af36f1b4599fca6e4832a64e858902243013d931f27a6aaabc32102e089223d0

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:37.521664Z digest=sha256:e9a0c349265bb7b42d9b74a5ffc99df416b6763f0c5396956e254bef1000cfd6

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T22:33:37.525234Z digest=sha256:2587ec5f7ec881eb83e1bad722da8a1a7cec569ffc725030ffab2bd7681bca4c

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=sha256:40050d133b09941e776b08e2a71172d16fc1e71693e14ab9478692bcbccbd913

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-07T14:53:13.577674Z digest=sha256:e5f49f37b2d1776bf4e7d9d1c29c5cd5f78b7aa21a0e1ad892a267e3ddd992a7

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-06-29T09:56:27.021374Z digest=sha256:d3f3ec36f7c1fd4f51f7e12557ffa3765e9a95749695dfacfaca89f9c802f47e