Paper Citation Record · LEDGER

From Swap Axioms to Weighted Geometric Means: A Characterization of AMMs

As of 13 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 1 inbound Pith citation observation for arXiv:2604.16898.

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

pith.paper-citation-record.v1
2604.16898 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T06:58:04.989550Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T11:14:14.203590Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

10 of 10 outbound references displayed

verified exact7
verified fuzzy3
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 6f6f8bb8-bbec-4a75-a417-838aa423a7a9 · outbound

This paper cites Constant Function Market Makers: Multi-Asset Trades via Convex Optimization.

From Swap Axioms to Weighted Geometric Means: A Characterization of AMMs Constant Function Market Makers: Multi-Asset Trades via Convex Optimization

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-10T07:01:49.355177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bb7547d5-2d61-45c3-84ce-1c3fa079e9dc · outbound

This paper cites Improved Price Oracles: Constant Function Market Makers.

From Swap Axioms to Weighted Geometric Means: A Characterization of AMMs Improved Price Oracles: Constant Function Market Makers

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-05-10T07:01:49.348998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d1568c45-14f7-47ee-82e0-390ddb73e60c · outbound

This paper cites Lean 4 Formalization of AMM Axioms.

From Swap Axioms to Weighted Geometric Means: A Characterization of AMMs Lean 4 Formalization of AMM Axioms

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T14:55:15.266091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 233eac64-e4ed-4dbb-b469-2279a93265dd · outbound

This paper cites Balancer: A Non-Custodial Portfolio Manager, Liquidity Provider, and Price Sensor.

From Swap Axioms to Weighted Geometric Means: A Characterization of AMMs Balancer: A Non-Custodial Portfolio Manager, Liquidity Provider, and Price Sensor

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T14:55:15.259628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ba57300e-80f3-4c6e-ac75-9956c625070b · outbound

This paper cites A Formal Approach to AMM Fee Mechanisms with Lean 4.

From Swap Axioms to Weighted Geometric Means: A Characterization of AMMs A Formal Approach to AMM Fee Mechanisms with Lean 4

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-10T07:01:49.346472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dc86a7c4-0a08-4d94-a69c-cd5752c7a657 · outbound

This paper cites An Axiomatic Characteriza- tion of CFMMs and Equivalence to Prediction Markets.

From Swap Axioms to Weighted Geometric Means: A Characterization of AMMs An Axiomatic Characteriza- tion of CFMMs and Equivalence to Prediction Markets

Reference 6

Resolution: verified exact; doi, observed 2026-05-10T07:01:48.876427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f11701c7-1176-4e1f-9e1b-340c66934ef6 · outbound

This paper cites All AMMs are CFMMs. All DeFi markets have invariants. A DeFi market is arbitrage-free if and only if it has an increasing invariant.

From Swap Axioms to Weighted Geometric Means: A Characterization of AMMs All AMMs are CFMMs. All DeFi markets have invariants. A DeFi market is arbitrage-free if and only if it has an increasing invariant

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-10T07:01:49.343897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 810a15c0-4aa7-403a-bcaf-30bb12b9e864 · outbound

This paper cites Automated Market Making and Loss-Versus-Rebalancing.

From Swap Axioms to Weighted Geometric Means: A Characterization of AMMs Automated Market Making and Loss-Versus-Rebalancing

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-10T07:01:49.352665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cc4831c9-771e-4a7b-a642-8ab6df37fbab · outbound

This paper cites Formalizing Automated Market Makers in the Lean 4 Theorem Prover.

From Swap Axioms to Weighted Geometric Means: A Characterization of AMMs Formalizing Automated Market Makers in the Lean 4 Theorem Prover

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-10T07:01:49.341617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 583ba1ff-3c31-4498-927a-7ad933246338 · outbound

This paper cites Uniswap V2 Core.

From Swap Axioms to Weighted Geometric Means: A Characterization of AMMs Uniswap V2 Core

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T14:55:15.263934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation d700f9bc-85b7-4dba-aac5-bba223debb90 · inbound

A Unified General Formula for Arbitrary Liquidity Operations in Weighted AMMs: Potential Applications to Intelligent Transportation Systems cites this paper.

A Unified General Formula for Arbitrary Liquidity Operations in Weighted AMMs: Potential Applications to Intelligent Transportation Systems From Swap Axioms to Weighted Geometric Means: A Characterization of AMMs

Reference 2

Resolution: metadata mismatch; local_arxiv, observed 2026-06-26T11:19:23.687400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.