Pith Number

pith:FCAUBQQS

pith:2005:FCAUBQQS7YWNS2DZDLPCSWXATF

not attested not anchored not stored refs pending

From Zwiebach invariants to Getzler relation

A. Losev, S. Shadrin

arxiv:math/0506039 v2 · 2005-06-02 · math.QA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCAUBQQS7YWNS2DZDLPCSWXATF}

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	2026-05-18T04:39:59.953950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

288140c212fe2cd968791ade295ae0994dbcfed1c15e48525074ecadf20befb4

Aliases

arxiv: math/0506039 · arxiv_version: math/0506039v2 · doi: 10.48550/arxiv.math/0506039 · pith_short_12: FCAUBQQS7YWN · pith_short_16: FCAUBQQS7YWNS2DZ · pith_short_8: FCAUBQQS

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/FCAUBQQS7YWNS2DZDLPCSWXATF \
  | 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: 288140c212fe2cd968791ade295ae0994dbcfed1c15e48525074ecadf20befb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4242fc7c2ea205b0a4c262752bc35c871281d0b5493ba6a071e7a621027bf583",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2005-06-02T11:01:20Z",
    "title_canon_sha256": "f0a755409618c443c3f711e405dd4be918730e6cf23e60feb39da572a278d923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506039",
    "kind": "arxiv",
    "version": 2
  }
}