Paper Citation Record · LEDGER

Inductive construction of path homology chains and the structure of $\Omega_3(G;R)$

As of 19 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2607.13906.

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

pith.paper-citation-record.v1
2607.13906 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T03:33:35.300805Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

15 of 15 outbound references displayed

verified exact0
verified fuzzy0
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6f8e1603-6122-4b2d-818e-7f4360b9c2df · outbound

This paper cites Asao,Magnitude homology and path homology, Bull.

Inductive construction of path homology chains and the structure of $\Omega_3(G;R)$ Asao,Magnitude homology and path homology, Bull

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T03:33:33.327933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 729673e3-4f46-4051-abae-4fcb8e21008b · outbound

This paper cites Inductive construction of path homology chains.

Inductive construction of path homology chains and the structure of $\Omega_3(G;R)$ Inductive construction of path homology chains

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T03:33:33.381708Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7af72ce-de51-4cb5-9aaf-658a54129be7 · outbound

This paper cites Burfitt,Path homology with field coefficients, November 2024,https://github.

Inductive construction of path homology chains and the structure of $\Omega_3(G;R)$ Burfitt,Path homology with field coefficients, November 2024,https://github

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T03:33:33.531517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb24b686-e275-422e-8f41-fe124a028b54 · outbound

This paper cites Chowdhury and F.

Inductive construction of path homology chains and the structure of $\Omega_3(G;R)$ Chowdhury and F

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T03:33:33.693796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe057cc7-b771-478e-a95f-d94ced7f9c89 · outbound

This paper cites an unresolved cited work.

Inductive construction of path homology chains and the structure of $\Omega_3(G;R)$ Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T03:33:33.860112Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4aa2a6c-d4ce-46cd-90ee-ef06d09acd15 · outbound

This paper cites an unresolved cited work.

Inductive construction of path homology chains and the structure of $\Omega_3(G;R)$ Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T03:33:34.024732Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1fb0ca1-f81f-460d-ba6c-7256174a35d3 · outbound

This paper cites Dimakis and F.

Inductive construction of path homology chains and the structure of $\Omega_3(G;R)$ Dimakis and F

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T03:33:34.149605Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7e8330e-2684-4233-aadd-2595b1dc1b12 · outbound

This paper cites Path homology of digraphs without multisquares and its comparison with homology of spaces.

Inductive construction of path homology chains and the structure of $\Omega_3(G;R)$ Path homology of digraphs without multisquares and its comparison with homology of spaces

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T03:33:34.307347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1cb2fd9-b94e-432c-8d2e-ae887d2c5dfe · outbound

This paper cites Grigor’yan, R.

Inductive construction of path homology chains and the structure of $\Omega_3(G;R)$ Grigor’yan, R

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T03:33:34.469671Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a39b0dc0-2b77-4763-8968-7fd295f6060a · outbound

This paper cites Homologies of path complexes and digraphs.

Inductive construction of path homology chains and the structure of $\Omega_3(G;R)$ Homologies of path complexes and digraphs

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T03:33:34.632090Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a99f53f-5b1a-4da1-a2c4-5895dc2203db · outbound

This paper cites an unresolved cited work.

Inductive construction of path homology chains and the structure of $\Omega_3(G;R)$ Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T03:33:34.794499Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cef6a1de-4ff1-4e35-9f54-0aa788986b62 · outbound

This paper cites Grigor’yan,Advances in path homology theory of digraphs, ICCM10(2022), no.

Inductive construction of path homology chains and the structure of $\Omega_3(G;R)$ Grigor’yan,Advances in path homology theory of digraphs, ICCM10(2022), no

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T03:33:34.926665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e5c04c7-d696-4944-b6e0-9649aca73921 · outbound

This paper cites Grigor’yan, Y.

Inductive construction of path homology chains and the structure of $\Omega_3(G;R)$ Grigor’yan, Y

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T03:33:35.078436Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 05070402-7dfe-4e12-9de0-3e6f6d5ecc11 · outbound

This paper cites Hepworth and S.

Inductive construction of path homology chains and the structure of $\Omega_3(G;R)$ Hepworth and S

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T03:33:35.203948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ded7e3e-d176-4c27-add1-f2d4aa15b1b3 · outbound

This paper cites Rotman,An introduction to homological algebra, 2 ed., Springer, 2009.

Inductive construction of path homology chains and the structure of $\Omega_3(G;R)$ Rotman,An introduction to homological algebra, 2 ed., Springer, 2009

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T03:33:35.300805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.