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Paper Citation Record · LEDGER

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

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-16T08:12:30.984870Z digest=sha256:5b528c8faeca1cc74e0247e22c2a9bdca5a0bf0239b62cd31b763c92e74ed719

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-15T08:07:54.611771Z digest=sha256:ed39bddc1d1afa33ca7b3bdafd19781e9f066493ffbb2a8c632c740e984fabdc

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=sha256:9c6d7347e8ad8ed0e22b95710b58abbf573b7ee91fb823e9abe97c4ae5968487

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:d05e95dcbfaa971e0edeab0d26860db49327e07502b0882436d108ff141cea8e

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=sha256:60450e100698ad37a08da9e222a5dec3c92d59e605ded42ac8e0ef1698c3f906

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=sha256:5df468e18b5353f39803be36c2b4cce1c88e084ca33916f2c6eb7136f92f7da4

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:c72391b22fb887fe0f2e3bbc18e2099c301c94dcc2bffff4805b9b2aa80d1373

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-13T01:15:58.175350Z digest=sha256:84b51f64f0a4ae5b0a6fb4c528cc800438fa66116b9fe4955fc33c84bc515c7a

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-20T22:36:56.061187Z digest=sha256:40d3ca0af1d34e234006aed656fe1408707e3b604e8065a5856f0d4f84d9a0d0

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-25T05:45:01.857573Z digest=sha256:9dbee6141a0c3db21e43736b43ba071d388d07a5f0ae21129b7971d165dfcce1

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-29T23:49:06.077148Z digest=sha256:f841c5d65cdfddbb1fef3dd4b6e66018c3cd6d36a3dba815d6277c9ec1ca7693

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-28T06:29:42.665765Z digest=sha256:0def0b5eebe64dd16e15d8c55ca2f37b85645360ad75703768eab9e9e03b1591

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-06-30T11:02:47.824120Z digest=sha256:9a40a48fbfc9a02724a1c67090407b7afb75d84fb7c1a6de6fcaf0d059c1d0bc

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-06-30T09:40:06.842936Z digest=sha256:26dca3c01d82b32b166e757743413b9502f0595359426e018d1a5abc856056c7

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-07-02T12:32:01.807609Z digest=sha256:c42d8be9b3c4079567eabdb2abd317ac602d30105e8447863ebab25f698fd0cd

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-09T03:36:57.168246Z digest=sha256:24e8aeae393cb7c5114fd23e940c0be8eb2fa344c186ea9a3d43009b5e21114b

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:b1fbed80566f86a6ba31a68dc95fa9cd6504e7306beeffeade83c5dd361d207e

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=sha256:1db4ddc74329695bf1ff9893b0078e458d7e6282694ffee313a15e2ccc4d5f6a

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=sha256:6f3d5bdfcb2a6b6441d516f5446858b4a92f3a86472c4948dff5200cb0233ea3

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=sha256:8ddbbfa77749f6af0d362e2297b88240413bad5b41369927633b416281cde7ae