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Paper Citation Record · LEDGER

Goedel Machines: Self-Referential Universal Problem Solvers Making Provably Optimal Self-Improvements

As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 20 inbound Pith citation observations for arXiv:cs/0309048.

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

pith.paper-citation-record.v1
cs/0309048 v5

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 20 of 20 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:15:29.164497Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-09T03:45:55.705965Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
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  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 52123bc9-b49b-42c4-93d1-0ea069a03a0f · inbound

Promptbreeder: Self-Referential Self-Improvement Via Prompt Evolution cites this paper.

Promptbreeder: Self-Referential Self-Improvement Via Prompt Evolution Goedel Machines: Self-Referential Universal Problem Solvers Making Provably Optimal Self-Improvements

Reference 291

Resolution
verified exact
local_arxiv, observed 2026-05-16T08:12:35.399093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-16T08:12:30.984870Z digest=sha256:f2a2dd50167b9b6ca9460e1c085fad1d51d1e522b1f25696332c52fa3bf4071f

Observation 4099cee5-4a80-4c55-ad38-e1ca7144cd67 · inbound

Automated Design of Agentic Systems cites this paper.

Automated Design of Agentic Systems Goedel Machines: Self-Referential Universal Problem Solvers Making Provably Optimal Self-Improvements

Reference 205

Resolution
metadata mismatch
local_arxiv, observed 2026-05-15T08:07:55.004676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-15T08:07:54.611771Z digest=sha256:bdedbb8703ea7679c0a1dc10c937305469c11ff3d29fb56373dd6ab353b8af2a

Observation be0e1252-1ae0-4c9f-a6f5-609ef7b9bf64 · inbound

Boundless Socratic Learning with Language Games cites this paper.

Boundless Socratic Learning with Language Games Goedel Machines: Self-Referential Universal Problem Solvers Making Provably Optimal Self-Improvements

Reference 1993

Resolution
unresolved
no resolver link, observed 2026-08-12T12:50:17.145923Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T12:50:17.145923Z digest=sha256:6ab57f19880df1c111fd071ec682336c5ce56df0d4469eeca3606c8247be0e36

Observation 86f5cdbc-0da4-4605-9929-fd38fcd4e468 · inbound

Generating on Generated: An Approach Towards Self-Evolving Diffusion Models cites this paper.

Generating on Generated: An Approach Towards Self-Evolving Diffusion Models Goedel Machines: Self-Referential Universal Problem Solvers Making Provably Optimal Self-Improvements

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-07T20:00:34.016178Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T20:00:34.016178Z digest=sha256:a4cc7152c221b2c99c4a183187d7fe6d449420674780a5723aed5dbae70cdbb7

Observation c1973c10-11dc-4e54-a664-261a1a85c60d · inbound

Quantum AGI: Ontological Foundations cites this paper.

Quantum AGI: Ontological Foundations Goedel Machines: Self-Referential Universal Problem Solvers Making Provably Optimal Self-Improvements

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-07T00:42:59.730178Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:42:59.730178Z digest=sha256:1887e3bd3f70997f8a91f3afc001ce63d786c34e17a6f0130d30d3cbecf7eae1

Observation ef174447-0bcb-45b9-b121-c55e719f3227 · inbound

Hamiltonian Formalism for Comparing Quantum and Classical Intelligence cites this paper.

Hamiltonian Formalism for Comparing Quantum and Classical Intelligence Goedel Machines: Self-Referential Universal Problem Solvers Making Provably Optimal Self-Improvements

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-07T00:24:36.390290Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:24:36.390290Z digest=sha256:54ad2ba808b48bfb61c8724d39f4f5ce7e5cf9be0ee2690ea300198ad920ac55

Observation f6223883-8585-4a29-babd-6f6a1d7504f7 · inbound

Evolving Prompts In-Context: An Open-ended, Self-replicating Perspective cites this paper.

Evolving Prompts In-Context: An Open-ended, Self-replicating Perspective Goedel Machines: Self-Referential Universal Problem Solvers Making Provably Optimal Self-Improvements

Reference 191

Resolution
unresolved
no resolver link, observed 2026-08-06T23:29:28.826547Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:29:28.826547Z digest=sha256:279a4a3ba6f962b2ea3e90cce62711f6be2b0393e06b7ce384347f27513eb602

Observation 65d4e3b7-de29-4170-b550-d481fb13cec2 · inbound

AutoLLMResearch: Training Research Agents for Automating LLM Experiment Configuration - Learning from Cheap, Optimizing Expensive cites this paper.

AutoLLMResearch: Training Research Agents for Automating LLM Experiment Configuration - Learning from Cheap, Optimizing Expensive Goedel Machines: Self-Referential Universal Problem Solvers Making Provably Optimal Self-Improvements

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-05-13T01:17:02.017942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-13T01:15:58.175350Z digest=sha256:ac1256fbe044713060fd17956ca8b8c6768b642efe1f0f3b216107cbc18d269a

Observation 2a08229e-77f3-4ba1-b656-225cd07b3bcb · inbound

AutoLLMResearch: Training Research Agents for Automating LLM Experiment Configuration - Learning from Cheap, Optimizing Expensive cites this paper.

AutoLLMResearch: Training Research Agents for Automating LLM Experiment Configuration - Learning from Cheap, Optimizing Expensive Goedel Machines: Self-Referential Universal Problem Solvers Making Provably Optimal Self-Improvements

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-05-20T22:39:10.246114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-20T22:36:56.061187Z digest=sha256:748209ee5d831838c13a328d3f7a4d71e34a2adec336f996ab996ef4de5c502f

Observation 26404bc0-b719-4d7a-9e2f-319f75ec3ffa · inbound

PACE: Two-Timescale Self-Evolution for Small Language Model Agents cites this paper.

PACE: Two-Timescale Self-Evolution for Small Language Model Agents Goedel Machines: Self-Referential Universal Problem Solvers Making Provably Optimal Self-Improvements

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-05-25T05:45:23.322812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-25T05:45:01.857573Z digest=sha256:3e2aa0fbe8e143d55f5849d221eeff1a1fe8597b40e8f66c73d2cf90fb1d6bb5

Observation c5323605-334d-421c-bda1-920846c1a952 · inbound

Cultivating Machine Intelligence: The OMEGA Shift from Top-Down Optimization to Autopoietic Cognitive Ecologies cites this paper.

Cultivating Machine Intelligence: The OMEGA Shift from Top-Down Optimization to Autopoietic Cognitive Ecologies Goedel Machines: Self-Referential Universal Problem Solvers Making Provably Optimal Self-Improvements

Reference 71

Resolution
verified exact
local_arxiv, observed 2026-06-30T00:04:06.726553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-29T23:49:06.077148Z digest=sha256:f6edec2e0ccbb9d67d1cc1bc37d25677b229b0a1f650ab5f11efbe0b8a60ded7

Observation 89281996-3ba4-4e16-95c9-a4f644115405 · inbound

The Meta-Agent Challenge: Are Current Agents Capable of Autonomous Agent Development? cites this paper.

The Meta-Agent Challenge: Are Current Agents Capable of Autonomous Agent Development? Goedel Machines: Self-Referential Universal Problem Solvers Making Provably Optimal Self-Improvements

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-07-02T07:56:47.660818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-28T06:29:42.665765Z digest=sha256:4a0e2f1bf3ed11ccac60aa799b03f99fca7cb9c64f7b90ece72880256d7f311a

Observation edb912e3-d112-46d8-b280-4c4adef1be99 · inbound

Agentic Safety is an Epistemic Property, Not a Behavioral One cites this paper.

Agentic Safety is an Epistemic Property, Not a Behavioral One Goedel Machines: Self-Referential Universal Problem Solvers Making Provably Optimal Self-Improvements

Reference 61

Resolution
verified exact
local_arxiv, observed 2026-06-30T11:04:37.531846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-06-30T11:02:47.824120Z digest=sha256:b8c68be71afe53a8d07987f31b6bf6d59f01b93bf5dd0b610b1b67505118a960

Observation 03d22696-4a74-487c-a8e5-3726dcb03258 · inbound

Modification-Considering Value Learning for Reward Hacking Mitigation in RL cites this paper.

Modification-Considering Value Learning for Reward Hacking Mitigation in RL Goedel Machines: Self-Referential Universal Problem Solvers Making Provably Optimal Self-Improvements

Reference 25

Resolution
metadata mismatch
local_arxiv, observed 2026-06-30T09:44:37.592845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-06-30T09:40:06.842936Z digest=sha256:88f465e1b270fdcb416c1f37d4eff88d5e9861de5a4357ca16c5ebaafbd86c30

Observation 77078897-6608-4f1c-b415-3a2396d21749 · inbound

Self-Evolving Agents with Anytime-Valid Certificates cites this paper.

Self-Evolving Agents with Anytime-Valid Certificates Goedel Machines: Self-Referential Universal Problem Solvers Making Provably Optimal Self-Improvements

Reference 36

Resolution
verified exact
local_arxiv, observed 2026-07-02T12:36:56.086742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-07-02T12:32:01.807609Z digest=sha256:2d58ff5c67b8357e055acf5c47dd12b2df5df05f237fc90d6c6bf04c1d92b25b

Observation a3306a95-bd9d-4753-a83b-12bd56b5f12f · inbound

Recursive Self-Improvement in AI: From Bounded Self-Refinement to Autonomous Research Loops cites this paper.

Recursive Self-Improvement in AI: From Bounded Self-Refinement to Autonomous Research Loops Goedel Machines: Self-Referential Universal Problem Solvers Making Provably Optimal Self-Improvements

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-07-09T03:45:55.707246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-09T03:36:57.168246Z digest=sha256:8329a0f6a8a8c78505959f7b6641558e4d7e0bd90c3dabc29da92a9b4e091949

Observation fa8183b9-40f2-4048-b699-0ce0b61fbb25 · inbound

Evolutionary Intelligence for Scientific Discovery: From Evolutionary Computation to Cumulative Discovery Systems cites this paper.

Evolutionary Intelligence for Scientific Discovery: From Evolutionary Computation to Cumulative Discovery Systems Goedel Machines: Self-Referential Universal Problem Solvers Making Provably Optimal Self-Improvements

Reference 70

Resolution
unresolved
no resolver link, observed 2026-07-13T00:55:17.107245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T00:55:17.107245Z digest=sha256:b0ad4be378e2045147a9d6eb1dd4c95c4ef5ad5af2c1fcfb7f84a5b7501cee1a

Observation c93dfb00-e5b2-46bc-9ca2-023efe037ac3 · inbound

Beyond Fixed Representations: The Vocabulary and Verifier Gaps in Open-Ended AI cites this paper.

Beyond Fixed Representations: The Vocabulary and Verifier Gaps in Open-Ended AI Goedel Machines: Self-Referential Universal Problem Solvers Making Provably Optimal Self-Improvements

Reference 50

Resolution
unresolved
no resolver link, observed 2026-07-13T02:08:59.301970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:08:59.301970Z digest=sha256:686637e7a369bf15acf1068f595960eceb63bbb4ce7c61c86d6e896cffdfd85f

Observation 6a04cb84-6b9c-4db8-bd08-3d519b191d47 · inbound

Code Is the Body: Agent-Owned Software Bodies for Recursive Evolution and Descent cites this paper.

Code Is the Body: Agent-Owned Software Bodies for Recursive Evolution and Descent Goedel Machines: Self-Referential Universal Problem Solvers Making Provably Optimal Self-Improvements

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T00:45:29.372474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:45:29.372474Z digest=sha256:178ff58531beb4ce380c0144b333112edcce55960e2889449b09eb579f4990f8

Observation b6fe1431-4d67-46d3-8169-15b4850e17e9 · inbound

AutoDesign: Meta-Harness Optimization for Long-Horizon Agentic Design cites this paper.

AutoDesign: Meta-Harness Optimization for Long-Horizon Agentic Design Goedel Machines: Self-Referential Universal Problem Solvers Making Provably Optimal Self-Improvements

Reference 1987

Resolution
unresolved
no resolver link, observed 2026-08-14T04:15:29.164497Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:15:29.164497Z digest=sha256:43b7b40bda156e2c8a1ffbd494ce1eb9b7e62b5236e177711d8b01d7a41524f3