Paper Citation Record · LEDGER

Multi-Project Contracts

As of 8 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 0 inbound Pith citation observations for arXiv:2506.05705.

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

pith.paper-citation-record.v1
2506.05705 v1

Coverage vector

measured 5 of 5 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:40:43.148237Z

measured 5 of 5 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

5 of 5 outbound references displayed

verified exact0
verified fuzzy2
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 74b0919e-1a17-42fb-b9f2-c7fbc95b8469 · outbound

This paper cites an unresolved cited work.

Multi-Project Contracts Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:40:43.248663Z

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.

Observation c1615882-e03b-4a31-9892-21ea2a05ec24 · outbound

This paper cites Specifically, ∃j∈M, x∈D j, S⊆A j,x such thatα j + X i∈S βi <min{f j(S), x} − X i∈S √cijx 2 √ 2.

Multi-Project Contracts Specifically, ∃j∈M, x∈D j, S⊆A j,x such thatα j + X i∈S βi <min{f j(S), x} − X i∈S √cijx 2 √ 2

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:40:43.233073Z

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.

Observation 487464db-e2fc-44f6-9aaf-cc4a37ab71c9 · outbound

This paper cites an unresolved cited work.

Multi-Project Contracts Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:40:43.216406Z

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.

Observation d6d25d20-024c-442f-bd03-e58982745b4e · outbound

This paper cites an unresolved cited work.

Multi-Project Contracts Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:40:43.200951Z

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.

Observation eaef532f-9edb-46e4-8434-67da66a68ee0 · outbound

This paper cites Proof.The proof proceeds similarly to the one of Claim 6.3.

Multi-Project Contracts Proof.The proof proceeds similarly to the one of Claim 6.3

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:40:43.184656Z

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.

Pith citing papers

No inbound Pith citation observations are available.