Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T22:33:37.525234Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T22:33:37.525234Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-03T03:26:57.925455Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-06-29T10:03:17.221053Z
50 of 50 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation ced02da8-69f9-4da3-9796-071f2e32ae18 · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Bachmann, T
Reference 1
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.
Observation a769a5f8-0c84-49b5-933a-0406d51bb878 · outbound
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
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.
Observation d053ae0e-a2d4-4577-8a8d-d57c89031e9f · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work
Reference 3
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.
Observation 5f5164a7-d609-4f70-b39e-c937a0766973 · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work
Reference 4
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.
Observation b66351c6-038f-4633-b13a-efc2f28b7cb6 · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work
Reference 5
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.
Observation 4529755e-aa23-4a4f-a391-2af2a7fef3cc · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work
Reference 6
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.
Observation 432f34a0-d72b-4c38-a97c-fb8644aa2172 · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Chang, Y.-T
Reference 7
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.
Observation 3c99cd2e-62bb-45d9-8f28-8432ae90b32a · outbound
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
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.
Observation 360da36f-54ff-4cf5-bf31-5701e491517e · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Deligne, A
Reference 9
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.
Observation 48661e35-7236-49a2-9993-715875ec40a7 · outbound
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
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.
Observation d6f2cb8c-245f-4ecc-887d-b65a5e49db0c · outbound
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
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.
Observation 42daff70-2a30-485e-b849-b547b9be2c09 · outbound
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
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.
Observation 6986a442-2870-453c-b518-612c58fbe358 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e6cce67f-f849-4be1-b49a-b97140a28a0e · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7e4093f9-2a8b-41b6-9613-1b0dd252c4be · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Hirose, H
Reference 15
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.
Observation f75c8949-9cdd-42f5-a7a1-d4f615118021 · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Hirose, H
Reference 16
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.
Observation c6f3eb9d-145a-4765-9cd3-b88e277a7973 · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Hirose, N
Reference 17
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.
Observation 76cc63ba-070a-47d8-b000-c2d1f40a56fb · outbound
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
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.
Observation 4ae01cb3-5e5b-4b38-b95f-ab91ced5fcdc · outbound
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
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.
Observation d9aefe60-91c0-4950-be71-a68819072488 · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work
Reference 20
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.
Observation a3def2af-168d-4856-846b-cbed22fc6def · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work
Reference 21
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.
Observation c2719b31-dfe0-4e56-a625-7d841b1b5e1b · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Hoffman, Y
Reference 22
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.
Observation 10754d7c-40ec-4616-adb9-39d3424e79cb · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Ihara, J
Reference 23
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.
Observation 65f3cd95-a5d4-4c33-bdd1-6f786b18ec73 · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Ihara, M
Reference 24
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.
Observation b5fdd153-e8a1-42be-9eb2-ad97fbd071ce · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work
Reference 25
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.
Observation 93f33b82-9a4a-4229-be47-378666eeddc6 · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Kaneko, M
Reference 26
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.
Observation 89c5f865-15bf-483d-8fa8-a959ea832a2e · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Kaneko, C
Reference 27
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.
Observation 43dce2cc-08e0-4482-8a13-2b83a4322f60 · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Kaneko, S
Reference 28
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.
Observation d3db6956-77d9-4fb3-8450-1be04cb139a0 · outbound
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
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.
Observation bc8b14f2-7613-46ed-8964-8d6bec597d45 · outbound
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
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.
Observation d5bdea6f-5c39-4ed3-a5f0-9560d3ff0930 · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Linebarger, J
Reference 31
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.
Observation f9c941ca-766b-4585-80d8-637339ac73ff · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 30644154-3217-409f-91bb-29846f5078e9 · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Murahara, M
Reference 33
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.
Observation 5e279bef-dd6b-4da3-8792-40629d1c44a9 · outbound
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
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.
Observation 9a26a036-dbf0-4dcc-9db5-957d32b27977 · outbound
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
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.
Observation 4b4ba904-093c-47e4-939f-5b5dc13bf00c · outbound
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
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.
Observation 2b4836fe-1f28-4dda-a477-5a45b7670941 · outbound
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
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.
Observation 32d7c4a6-1e3b-4205-add6-6fd027904a86 · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work
Reference 38
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.
Observation afb8fab8-ff67-4bf8-9344-4844681cfc25 · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work
Reference 39
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.
Observation 18aa897c-de05-48f3-941a-38c97fb51377 · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work
Reference 40
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.
Observation 873bc82b-5a0e-4cfa-b68c-e984cb8fc101 · outbound
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
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.
Observation 289ff08c-5b0c-41ce-b430-75be90321c1e · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Tanaka, N
Reference 42
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.
Observation 608a6cda-cc20-4733-9c84-71667201df2e · outbound
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
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.
Observation 94176b8f-bc8a-487d-b77e-4f2b98e037c1 · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work
Reference 44
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.
Observation 0762accc-6c6e-461b-88cb-e959175b9620 · outbound
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
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.
Observation 9950d66c-579f-4637-b7a1-ce11d21c6db5 · outbound
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
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.
Observation 1f597b61-4c03-4bb5-9643-601dcc04ba9b · outbound
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
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.
Observation db350135-1288-48f2-8b27-e96ada271e43 · outbound
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
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.
Observation bc4bb50c-79f7-4953-9029-79b79dde4e69 · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work
Reference 49
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.
Observation 59e69041-1a37-4701-a19d-2381871f51ea · outbound
The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones Unresolved cited work
Reference 50
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.
Observation 9959a4ec-df89-45ed-8be1-d32ae7315298 · inbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 999feb79-9779-428b-96bb-51a58682b088 · inbound
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
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.
Observation d5eea9ef-ef6f-4f0c-94aa-2e6a1bbabb67 · inbound
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
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.