Pith Number

pith:6TEN5M3Z

pith:1999:6TEN5M3Z7XWPPCR26JBCJVONM7

not attested not anchored not stored refs pending

Kontsevich star-product on the dual of a Lie algebra

Giuseppe Dito (Universite de Bourgogne)

arxiv:math/9905080 v1 · 1999-05-12 · 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{6TEN5M3Z7XWPPCR26JBCJVONM7}

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	2026-07-04T14:41:09.271555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4c8deb379fdecf78a3af24224d5cd67f04c4ce767dd1f7fcfcbf7a08aa0c8e4

Aliases

arxiv: math/9905080 · arxiv_version: math/9905080v1 · doi: 10.48550/arxiv.math/9905080 · pith_short_12: 6TEN5M3Z7XWP · pith_short_16: 6TEN5M3Z7XWPPCR2 · pith_short_8: 6TEN5M3Z

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/6TEN5M3Z7XWPPCR26JBCJVONM7 \
  | 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: f4c8deb379fdecf78a3af24224d5cd67f04c4ce767dd1f7fcfcbf7a08aa0c8e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "824a1bcc004b7d01c75b61223d23253dc804682628a4311d8d1ae112911e642e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1999-05-12T21:14:05Z",
    "title_canon_sha256": "48e8a7cdc042567308c9de0a60585edbd1a939c6b8f4b102f5827af7071ba785"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9905080",
    "kind": "arxiv",
    "version": 1
  }
}