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Paper Citation Record · LEDGER

Bioperational Multisets in Various Semi-rings

As of 16 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:1908.03235.

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

pith.paper-citation-record.v1
1908.03235 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:35:17.811034Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

11 of 11 outbound references displayed

  • verified exact5
  • verified fuzzy1
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dafa4fc0-2acc-4ced-8942-76869ec88738 · outbound

This paper cites https://www.youtube.com/watch?v=OcTMBrUutfk.

Bioperational Multisets in Various Semi-rings https://www.youtube.com/watch?v=OcTMBrUutfk

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:35:18.077945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:35:17.773389Z digest=sha256:e79ef3f5280b2bd0b0196d1ae07404d6d16e8f2ca653a4b73e7ceb512a6ef0d9

Observation 0174b6d3-3fba-45dd-85f6-30bb1c4a4799 · outbound

This paper cites Kurlandchik and A.

Bioperational Multisets in Various Semi-rings Kurlandchik and A

Reference 2

Resolution
verified exact
doi, observed 2026-08-14T14:35:17.842238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:35:17.777244Z digest=sha256:6517fb5d257dc6556fa0b12d57fc14b356424173a42358509fb650c696fd3ba6

Observation 3f4f1a2b-1dac-4d20-82cf-0165582e94d9 · outbound

This paper cites an unresolved cited work.

Bioperational Multisets in Various Semi-rings Unresolved cited work

Reference 3

Resolution
verified exact
raw_fallback, observed 2026-08-14T14:35:18.011767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:35:17.780596Z digest=sha256:fe162556f92a0383313dd36e7cb6c1716cdfc6f7c79afa0971f5ca8b4a2c53a0

Observation fefbc124-e609-480d-b363-0128d4327076 · outbound

This paper cites an unresolved cited work.

Bioperational Multisets in Various Semi-rings Unresolved cited work

Reference 4

Resolution
verified exact
raw_fallback, observed 2026-08-14T14:35:17.946882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:35:17.784045Z digest=sha256:cabf4b50f41f7447f45fe631de023d7efc9a58574b8bbab99bb247cd90becc4f

Observation de437df3-fdc0-483b-85de-6432c6140eaf · outbound

This paper cites an unresolved cited work.

Bioperational Multisets in Various Semi-rings Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:35:18.067215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:35:17.787512Z digest=sha256:2fb7e4f6a4e3c6ae78b13ac0e7d80b322eb19e5d55f5d0a9a0a32d6fdb81bf0f

Observation 738b0f18-4188-4b5c-8d02-85dded10dd42 · outbound

This paper cites an unresolved cited work.

Bioperational Multisets in Various Semi-rings Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:35:18.056311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:35:17.791439Z digest=sha256:2159cefc2fac6c60fe831072a80cfbbc7559c6669150c65bbd0bb94f7c1ece66

Observation 4b35006f-8b64-49fd-8bcd-c91efeebfc6f · outbound

This paper cites an unresolved cited work.

Bioperational Multisets in Various Semi-rings Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:35:18.045463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:35:17.795597Z digest=sha256:b57ca9d0cd6161a36e2e5fcf5c1cb0f60847f6c196d526e5e658491f47371e32

Observation 2527bde9-58ae-42cf-8c4a-a932dd242c8a · outbound

This paper cites An Algorithm to Solve the Equal-Sum-Product Problem.

Bioperational Multisets in Various Semi-rings An Algorithm to Solve the Equal-Sum-Product Problem

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:35:17.876662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:35:17.799322Z digest=sha256:f303a14b30741fd46ff0cc21907732c82e6ca7571386f08f45fc86a68c41d61f

Observation a06cacaf-662c-457d-84bd-5b881ee9f9f8 · outbound

This paper cites an unresolved cited work.

Bioperational Multisets in Various Semi-rings Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:35:18.035197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:35:17.802955Z digest=sha256:984a5ef8c7ae2c7a54ba39aff3340fa503700076a14735cf48f1c6bdce376b61

Observation a56e0f72-1bf0-4264-96f5-d00c41fe3822 · outbound

This paper cites Dismal Arithmetic.

Bioperational Multisets in Various Semi-rings Dismal Arithmetic

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:35:17.859030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:35:17.806562Z digest=sha256:5cfbe23b1f47537c5d32a55c27a9f8cc62a9810f6b0d6197201adefaf65dad92

Observation 27a6a92a-5e56-4be6-bcec-64c3d6d25b87 · outbound

This paper cites an unresolved cited work.

Bioperational Multisets in Various Semi-rings Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:35:18.024180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:35:17.811034Z digest=sha256:7902206b7536ae682b7be059781be7e84ff6236fafec57e3d9ba3ce209e5710a

Pith citing papers

No inbound Pith citation observations are available.