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Paper Citation Record · LEDGER

A Non-Multiplicable Upho Poset Constructed from the Petersen Graph

As of 8 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2606.17549.

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

pith.paper-citation-record.v1
2606.17549 v3

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T00:36:10.021339Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

13 of 13 outbound references displayed

  • verified exact1
  • verified fuzzy0
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation feccb5c5-6952-430e-ad77-b4e17d3ae044 · outbound

This paper cites an unresolved cited work.

A Non-Multiplicable Upho Poset Constructed from the Petersen Graph Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-27T00:36:10.021339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T00:36:10.021339Z digest=sha256:7f28443614f2e2140f8579b3e4b5cb001bfd8427a50ca9ab0ffcdd40646fb269

Observation cb7db977-0836-4e2d-93d1-7932206a94c8 · outbound

This paper cites The monoid representation of upho posets and total positivity.

A Non-Multiplicable Upho Poset Constructed from the Petersen Graph The monoid representation of upho posets and total positivity

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-03T21:28:58.541928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-06-27T00:36:10.021339Z digest=sha256:f0070f0828eaa797812d0d98bd5b99a237979fce147a57a91486b51d5c18cac2

Observation 19dd379d-07ea-49e5-a6bb-931f924d49bf · outbound

This paper cites an unresolved cited work.

A Non-Multiplicable Upho Poset Constructed from the Petersen Graph Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-27T00:36:10.021339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T00:36:10.021339Z digest=sha256:0b49aa904a2a7708274448978920b5e7191f8476e550ea7d35bcb92c5816943f

Observation dab80a79-b993-4fb9-a235-4c42b9cf5c8f · outbound

This paper cites an unresolved cited work.

A Non-Multiplicable Upho Poset Constructed from the Petersen Graph Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-27T00:36:10.021339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T00:36:10.021339Z digest=sha256:73ed0dae03db484d858e416883931e1bf01e4ea82744e5ba67e86b2085e7a8c5

Observation bd5d96ca-f7f2-4116-a132-6b043bf5958f · outbound

This paper cites Godsil and G.

A Non-Multiplicable Upho Poset Constructed from the Petersen Graph Godsil and G

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-27T00:36:10.021339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T00:36:10.021339Z digest=sha256:2fd11848f879f0c118622eb896f55da79deaef98890024962fd699571ffeb7f3

Observation 9db416f0-13e6-44dd-ae02-20584b416c75 · outbound

This paper cites Hopkins, A note on M\"obius functions of upho posets, The Electronic Journal of Combinatorics 29 (2022), no.

A Non-Multiplicable Upho Poset Constructed from the Petersen Graph Hopkins, A note on M\"obius functions of upho posets, The Electronic Journal of Combinatorics 29 (2022), no

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-27T00:36:10.021339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T00:36:10.021339Z digest=sha256:62d3e5c7187c186f5945b948c14f51a8ee9f6c7553ebb0bae38989d8a4336c0f

Observation 2d1a9fd3-a7ed-46c9-8d83-3d1626376909 · outbound

This paper cites Hopkins, Upho lattices I: examples and non-examples of cores, Combinatorial Theory 5 (2025), no.

A Non-Multiplicable Upho Poset Constructed from the Petersen Graph Hopkins, Upho lattices I: examples and non-examples of cores, Combinatorial Theory 5 (2025), no

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-27T00:36:10.021339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T00:36:10.021339Z digest=sha256:27f5132437bcf73b12945c8ca78246d9d08d578ccf3790e3dbc427292a88f566

Observation ac243618-2426-49d7-8193-6a275176cf4f · outbound

This paper cites Hopkins and J.

A Non-Multiplicable Upho Poset Constructed from the Petersen Graph Hopkins and J

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-27T00:36:10.021339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T00:36:10.021339Z digest=sha256:a25ffa16d74e4e66a532f2bbfaa21ad7d7d0d1c98dd39dcd0a9db15f1c4f580d

Observation ca1bc609-6f54-4865-b809-5c4eebfaadb3 · outbound

This paper cites Lauri and R.

A Non-Multiplicable Upho Poset Constructed from the Petersen Graph Lauri and R

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-27T00:36:10.021339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T00:36:10.021339Z digest=sha256:89c8099660b3c1d53edf0524120c6e6ac0aeaea13235099104acc32ba7f74a84

Observation 026178bc-f37a-4141-bb89-fe8f066c5d84 · outbound

This paper cites Nica, A Brief Introduction to Spectral Graph Theory, EMS Textbooks in Mathematics, European Mathematical Society, Z \"u rich, 2018.

A Non-Multiplicable Upho Poset Constructed from the Petersen Graph Nica, A Brief Introduction to Spectral Graph Theory, EMS Textbooks in Mathematics, European Mathematical Society, Z \"u rich, 2018

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-27T00:36:10.021339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T00:36:10.021339Z digest=sha256:7184662306d173cc51cf1ad0a36f7887d9b3167e0a6f7051ff62ddb3f47ffa50

Observation 86fe00c1-1473-43d5-bfbd-97d565211f20 · outbound

This paper cites Sabidussi, On a class of fixed-point-free graphs, Proceedings of the American Mathematical Society 9 (1958), 800--804.

A Non-Multiplicable Upho Poset Constructed from the Petersen Graph Sabidussi, On a class of fixed-point-free graphs, Proceedings of the American Mathematical Society 9 (1958), 800--804

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-27T00:36:10.021339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T00:36:10.021339Z digest=sha256:12d18ac6d51e62dc8c687f60205e83b5f1e7d92edb80a5e7badf97b35d9bfa47

Observation b5801957-2ee1-4f41-9741-dc94f8394cbe · outbound

This paper cites an unresolved cited work.

A Non-Multiplicable Upho Poset Constructed from the Petersen Graph Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-27T00:36:10.021339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T00:36:10.021339Z digest=sha256:6a171d169cb1bfd9e772edc4d9b190050a09bf181d5b931b827427e6596e7c6d

Observation 9ac6127a-f58b-4780-b162-e05bbc67cb0c · outbound

This paper cites de Moura and N.

A Non-Multiplicable Upho Poset Constructed from the Petersen Graph de Moura and N

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-27T00:36:10.021339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T00:36:10.021339Z digest=sha256:21ee2115f880460b44648ad4a1c9bb15edb0c8ce7f41f44cfad415da63659418

Pith citing papers

No inbound Pith citation observations are available.