Pith Number

pith:REVY2LJL

pith:2006:REVY2LJLERVQ2EAYSXOX3BXEJW

not attested not anchored not stored refs pending

Quantization of Gamma-Lie bialgebras

B. Enriquez, G. Halbout

arxiv:math/0607817 v2 · 2006-07-31 · 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{REVY2LJLERVQ2EAYSXOX3BXEJW}

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	2026-05-18T04:40:56.369439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

892b8d2d2b246b0d101895dd7d86e44db0023e506235829cec181fa775a52a1e

Aliases

arxiv: math/0607817 · arxiv_version: math/0607817v2 · doi: 10.48550/arxiv.math/0607817 · pith_short_12: REVY2LJLERVQ · pith_short_16: REVY2LJLERVQ2EAY · pith_short_8: REVY2LJL

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/REVY2LJLERVQ2EAYSXOX3BXEJW \
  | 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: 892b8d2d2b246b0d101895dd7d86e44db0023e506235829cec181fa775a52a1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35226eb65c97c910395656ae831b90e6ee7efcdaabda17260a77a414cdb111b5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2006-07-31T15:13:36Z",
    "title_canon_sha256": "fc1ab754e5f6dabd2313eb934b54e62770c275834898176c24c8f1e34f2d2689"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607817",
    "kind": "arxiv",
    "version": 2
  }
}