Pith Number

pith:JGCJQAF6

pith:2009:JGCJQAF6FHLCQY74RHCXW2IVGA

not attested not anchored not stored refs pending

Drinfeld associators, braid groups and explicit solutions of the Kashiwara-Vergne equations

A. Alekseev, B. Enriquez, C. Torossian

arxiv:0903.4067 v1 · 2009-03-24 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JGCJQAF6FHLCQY74RHCXW2IVGA}

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	2026-07-04T15:40:04.735778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49849800be29d62863fc89c57b6915301977014d9a85f3ee8214aad17c81d8da

Aliases

arxiv: 0903.4067 · arxiv_version: 0903.4067v1 · doi: 10.48550/arxiv.0903.4067 · pith_short_12: JGCJQAF6FHLC · pith_short_16: JGCJQAF6FHLCQY74 · pith_short_8: JGCJQAF6

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/JGCJQAF6FHLCQY74RHCXW2IVGA \
  | 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: 49849800be29d62863fc89c57b6915301977014d9a85f3ee8214aad17c81d8da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fb563844cd0394f80d770688a12c0d61b16ead25ca50c8b4aa97f0a4b9f1b16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-03-24T11:59:10Z",
    "title_canon_sha256": "9bf1ac08534c183971432cef99578f79f0ea7064876f212a99250ff4b89453f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4067",
    "kind": "arxiv",
    "version": 1
  }
}