Paper Citation Record · LEDGER

Hammering Higher Order Set Theory

As of 7 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2509.08264.

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

pith.paper-citation-record.v1
2509.08264 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T21:00:35.884437Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+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

46 of 46 outbound references displayed

verified exact5
verified fuzzy16
unresolved18
parse uncertain0
malformed identifier6
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e483177a-0563-4c20-9e2a-e64a52c6c4d3 · outbound

This paper cites an unresolved cited work.

Hammering Higher Order Set Theory Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T21:00:35.644719Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d36b629-391d-4e08-9542-d0cc201733d6 · outbound

This paper cites Superpositionforlambda-freehigher-orderlogic.Log.

Hammering Higher Order Set Theory Superpositionforlambda-freehigher-orderlogic.Log

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:00:36.636329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 46f12512-181c-4836-a971-4e279f58a830 · outbound

This paper cites THF0 - the core of the TPTP language for higher-order logic.

Hammering Higher Order Set Theory THF0 - the core of the TPTP language for higher-order logic

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:00:36.606648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 99f45460-824d-47be-9348-9394565371d2 · outbound

This paper cites A higher-order vampire (short paper).

Hammering Higher Order Set Theory A higher-order vampire (short paper)

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T21:00:35.663990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d539da97-6c96-4bfc-a38c-2d9ab263e7a0 · outbound

This paper cites PhD thesis, Fakultät für Informatik, Technische Universität München, 2012.

Hammering Higher Order Set Theory PhD thesis, Fakultät für Informatik, Technische Universität München, 2012

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:00:36.591756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 6705cfb3-dad2-4caf-8832-be356ff25b4c · outbound

This paper cites an unresolved cited work.

Hammering Higher Order Set Theory Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-04T21:00:36.578093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 05b0297d-5d60-48f1-8e80-6787e87fd479 · outbound

This paper cites Encoding monomorphic and polymorphic types.Log.

Hammering Higher Order Set Theory Encoding monomorphic and polymorphic types.Log

Reference 7

Resolution: verified exact; doi, observed 2026-08-04T21:00:36.084650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 9f2f35f1-b2b9-4b84-bb5e-794d9f6599e1 · outbound

This paper cites A learning-based fact selector for Isabelle/HOL.

Hammering Higher Order Set Theory A learning-based fact selector for Isabelle/HOL

Reference 8

Resolution: verified exact; doi, observed 2026-08-04T21:00:36.070744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 59ab1fe0-a174-494d-8adb-be94c7d26e87 · outbound

This paper cites Paulson, and Josef Urban.

Hammering Higher Order Set Theory Paulson, and Josef Urban

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:00:36.562726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 4f435b0e-7913-40dd-b7ba-1fda6f12196d · outbound

This paper cites an unresolved cited work.

Hammering Higher Order Set Theory Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-04T21:00:36.537304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 88e0e719-43c0-439b-be75-6a23242c19fd · outbound

This paper cites Brown, Thibault Gauthier, Cezary Kaliszyk, Geoff Sutcliffe, and Josef Urban.

Hammering Higher Order Set Theory Brown, Thibault Gauthier, Cezary Kaliszyk, Geoff Sutcliffe, and Josef Urban

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T21:00:35.710717Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 628fb0f9-753d-4f06-993a-b63bc0318303 · outbound

This paper cites Brown and Cezary Kaliszyk.

Hammering Higher Order Set Theory Brown and Cezary Kaliszyk

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T21:00:35.714576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4c1c186-678b-49cb-b1eb-e5da2ffcdd7c · outbound

This paper cites Brown, Cezary Kaliszyk, Thibault Gauthier, and Josef Urban.

Hammering Higher Order Set Theory Brown, Cezary Kaliszyk, Thibault Gauthier, and Josef Urban

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T21:00:35.717957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10f10f53-137e-4d94-ad62-0765b38674d5 · outbound

This paper cites Brown, Cezary Kaliszyk, and Josef Urban.

Hammering Higher Order Set Theory Brown, Cezary Kaliszyk, and Josef Urban

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:00:36.523332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation adaf0eb8-8911-4a56-a8c8-11a97fbed045 · outbound

This paper cites Brown and Karol Pąk.

Hammering Higher Order Set Theory Brown and Karol Pąk

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:00:36.511716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 9bd93719-28b9-4d3d-a3ea-c4cfad857c09 · outbound

This paper cites Brown and Josef Urban.

Hammering Higher Order Set Theory Brown and Josef Urban

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:00:36.498341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 9ab7f1ae-6aa8-4592-a7fd-10f7618927e4 · outbound

This paper cites Brown, and Josef Urban.

Hammering Higher Order Set Theory Brown, and Josef Urban

Reference 17

Resolution: malformed identifier; no resolver link, observed 2026-08-04T21:00:35.743737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e2d03619-4bf4-48d9-87bb-6e9aea3db9ae · outbound

This paper cites Conway.On numbers and games, Second Edition.

Hammering Higher Order Set Theory Conway.On numbers and games, Second Edition

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:00:36.480176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation da436cc4-ab56-4aa6-bd7e-275e6ef8410a · outbound

This paper cites The Naproche system: Proof-checking mathematical texts in controlled natural language.

Hammering Higher Order Set Theory The Naproche system: Proof-checking mathematical texts in controlled natural language

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:00:36.461972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation c878d1b7-2035-4913-a131-713994ce3f43 · outbound

This paper cites Hammer for Coq: Automation for depen- dent type theory.J.

Hammering Higher Order Set Theory Hammer for Coq: Automation for depen- dent type theory.J

Reference 20

Resolution: malformed identifier; raw_fallback, observed 2026-08-04T21:00:36.447324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 2ecec6a3-544f-489c-8de4-ba4cb8548f23 · outbound

This paper cites Interpretation of a Mizar-like logic in first-order logic.

Hammering Higher Order Set Theory Interpretation of a Mizar-like logic in first-order logic

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:00:36.428665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 252511d4-8da4-4737-85ea-b692351e075f · outbound

This paper cites an unresolved cited work.

Hammering Higher Order Set Theory Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-04T21:00:36.415368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation c373ebfa-bac9-4751-8ca7-677ca7861e8c · outbound

This paper cites Seventeen provers under the hammer.

Hammering Higher Order Set Theory Seventeen provers under the hammer

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T21:00:35.772915Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6fe72b8d-ef10-434e-b8b7-9dd17f35bc83 · outbound

This paper cites Premise selection and external provers for HOL4.

Hammering Higher Order Set Theory Premise selection and external provers for HOL4

Reference 24

Resolution: metadata mismatch; arxiv_id, observed 2026-08-04T21:00:36.144574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 260d14a1-28cb-436a-b8f3-eb42101abe8d · outbound

This paper cites an unresolved cited work.

Hammering Higher Order Set Theory Unresolved cited work

Reference 25

Resolution: malformed identifier; raw_fallback, observed 2026-08-04T21:00:36.395865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 55156448-e352-48cc-af99-eb53ee05efb0 · outbound

This paper cites Integrating Gandalf and HOL.

Hammering Higher Order Set Theory Integrating Gandalf and HOL

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:00:36.371088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 673f1c0b-5322-406d-9db3-b38b991de6f6 · outbound

This paper cites An LCF-style interface between HOL and first-order logic.

Hammering Higher Order Set Theory An LCF-style interface between HOL and first-order logic

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:00:36.344167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 23b6b8af-3221-4f85-acdd-521d835bb35f · outbound

This paper cites First-order proof tactics in higher-order logic theorem provers.

Hammering Higher Order Set Theory First-order proof tactics in higher-order logic theorem provers

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:00:36.330555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 44f0cbac-7a41-4ea3-ac44-609cea168e1e · outbound

This paper cites Learning-assisted automated reasoning with Flyspeck.J.

Hammering Higher Order Set Theory Learning-assisted automated reasoning with Flyspeck.J

Reference 29

Resolution: malformed identifier; raw_fallback, observed 2026-08-04T21:00:36.316598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation a2bdde78-8840-4aaa-9aeb-e932d1ec2369 · outbound

This paper cites Learning-assisted automated reasoning with Flyspeck.J.

Hammering Higher Order Set Theory Learning-assisted automated reasoning with Flyspeck.J

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T21:00:35.808173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 365bc92e-c9a7-414f-9166-54994a5bc817 · outbound

This paper cites Case study: Verified vampire proofs in the lambdapi-calculus modulo, 2025.

Hammering Higher Order Set Theory Case study: Verified vampire proofs in the lambdapi-calculus modulo, 2025

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T21:00:35.812609Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4576d800-c2b7-49ae-9b34-8d604004f0ae · outbound

This paper cites an unresolved cited work.

Hammering Higher Order Set Theory Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-04T21:00:36.301342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 133a82c0-e634-4a13-af1b-c73efa5f320e · outbound

This paper cites an unresolved cited work.

Hammering Higher Order Set Theory Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-04T21:00:36.283107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 5bab2c53-b5e9-4ecf-af88-c092d9fb42db · outbound

This paper cites an unresolved cited work.

Hammering Higher Order Set Theory Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-04T21:00:36.265699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 0daa6cc6-c8cb-4e7b-941c-5e3ef1516be5 · outbound

This paper cites Conway normal form: Bridging approaches for comprehensive formalization of surreal numbers.

Hammering Higher Order Set Theory Conway normal form: Bridging approaches for comprehensive formalization of surreal numbers

Reference 35

Resolution: verified exact; doi, observed 2026-08-04T21:00:35.957876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 66c330e7-f16f-46ba-8dcb-ccb4ed4ae1cd · outbound

This paper cites an unresolved cited work.

Hammering Higher Order Set Theory Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-04T21:00:36.248682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 24467f26-39d3-456b-a8e2-74436878a3b2 · outbound

This paper cites an unresolved cited work.

Hammering Higher Order Set Theory Unresolved cited work

Reference 37

Resolution: malformed identifier; no resolver link, observed 2026-08-04T21:00:35.845623Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b307597-4cd0-4605-b41e-1c9223c9f9c3 · outbound

This paper cites Dover, 2006.

Hammering Higher Order Set Theory Dover, 2006

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:00:36.233234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation aeafb364-35a6-44a4-87d3-42d86bfd1047 · outbound

This paper cites Axiomofchoiceandcomplementation.Proceedings of the American Mathematical Society, 51:176–178, 1975.

Hammering Higher Order Set Theory Axiomofchoiceandcomplementation.Proceedings of the American Mathematical Society, 51:176–178, 1975

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:00:36.209690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation ac9d368d-0449-44a7-bd7b-05c994f6db74 · outbound

This paper cites Cambridge University Press, 1903.

Hammering Higher Order Set Theory Cambridge University Press, 1903

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:00:36.191750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation ab4ba324-019e-48be-ac5f-09912aae47b3 · outbound

This paper cites an unresolved cited work.

Hammering Higher Order Set Theory Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-04T21:00:36.176747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 59960382-e8ab-45c8-9212-d8be373444e7 · outbound

This paper cites MPTP – Motivation, Implementation, First Experiments.J.

Hammering Higher Order Set Theory MPTP – Motivation, Implementation, First Experiments.J

Reference 42

Resolution: verified exact; doi, observed 2026-08-04T21:00:35.927341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 8218697a-9308-4922-b945-35c38a7e4fd7 · outbound

This paper cites Extending a high- performance prover to higher-order logic.

Hammering Higher Order Set Theory Extending a high- performance prover to higher-order logic

Reference 43

Resolution: malformed identifier; raw_fallback, observed 2026-08-04T21:00:36.161781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation cfc310f6-18f7-4749-baf4-8880dc809029 · outbound

This paper cites an unresolved cited work.

Hammering Higher Order Set Theory Unresolved cited work

Reference 114

Resolution: verified exact; doi, observed 2026-08-04T21:00:36.009634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation cdd2e710-b526-4633-b790-da8dcf77ba20 · outbound

This paper cites an unresolved cited work.

Hammering Higher Order Set Theory Unresolved cited work

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-04T21:00:35.699138Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 926d223b-d2ca-4892-9425-c8307b2dc203 · outbound

This paper cites an unresolved cited work.

Hammering Higher Order Set Theory Unresolved cited work

Reference 2021

Resolution: unresolved; raw_fallback, observed 2026-08-04T21:00:36.620070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Pith citing papers

No inbound Pith citation observations are available.