Pith Number

pith:HAXIVL46

pith:2023:HAXIVL463LB27HDJULHPIXXS4F

not attested not anchored not stored refs pending

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

Roger Lee

arxiv:2310.09782 v2 · 2023-10-15 · q-fin.TR · q-fin.MF

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HAXIVL463LB27HDJULHPIXXS4F}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T07:28:46.248979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

382e8aaf9edac3af9c69a2cef45ef2e16ea74b9031f3e21dfddb6b98b1dc8521

Aliases

arxiv: 2310.09782 · arxiv_version: 2310.09782v2 · doi: 10.48550/arxiv.2310.09782 · pith_short_12: HAXIVL463LB2 · pith_short_16: HAXIVL463LB27HDJ · pith_short_8: HAXIVL46

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HAXIVL463LB27HDJULHPIXXS4F \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 382e8aaf9edac3af9c69a2cef45ef2e16ea74b9031f3e21dfddb6b98b1dc8521

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7961bce9134dca4f58090d129ade7d3fc108686003c9aa6f3bd2e79695ed9366",
    "cross_cats_sorted": [
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.TR",
    "submitted_at": "2023-10-15T09:07:48Z",
    "title_canon_sha256": "3efaa27f1b14dfb78fc14e82135018578c43d756b46f1cc26e740b84ef1f1083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.09782",
    "kind": "arxiv",
    "version": 2
  }
}