Pith Number

pith:OODTCNV2

pith:2012:OODTCNV2ASH4ZM2UK25RLJGYW4

not attested not anchored not stored refs pending

Compatible quadratic Poisson brackets related to a family of elliptic curves

Alexander Odesskii, Thomas Wolf

arxiv:1204.1299 v2 · 2012-04-05 · math.QA · math.AG · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OODTCNV2ASH4ZM2UK25RLJGYW4}

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.

Receipt and verification

First computed	2026-05-18T01:57:56.561463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73873136ba048fccb35456bb15a4d8b73391ae8e52329c0cadfac8b70c73e366

Aliases

arxiv: 1204.1299 · arxiv_version: 1204.1299v2 · doi: 10.48550/arxiv.1204.1299 · pith_short_12: OODTCNV2ASH4 · pith_short_16: OODTCNV2ASH4ZM2U · pith_short_8: OODTCNV2

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/OODTCNV2ASH4ZM2UK25RLJGYW4 \
  | 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: 73873136ba048fccb35456bb15a4d8b73391ae8e52329c0cadfac8b70c73e366

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38f95a1c4f584c7baf169d1c4b795601f4f119401a1d12dde35ce023281a6e2c",
    "cross_cats_sorted": [
      "math.AG",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-04-05T18:26:29Z",
    "title_canon_sha256": "1c246b6c90ea17b5e0ac0a186d3c3c0c4f2a57c127d4ba3172402b3f7a007f42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1299",
    "kind": "arxiv",
    "version": 2
  }
}