Pith Number

pith:QBCOPE2K

pith:2007:QBCOPE2K4FVOG7AFYJCKQXZH7O

not attested not anchored not stored refs pending

Weak quantization of Poisson structures

Damien Calaque, Gilles Halbout

arxiv:0707.1978 v3 · 2007-07-13 · 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{QBCOPE2K4FVOG7AFYJCKQXZH7O}

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	2026-05-18T04:04:07.233244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8044e7934ae16ae37c05c244a85f27fb8ab28fca36a2bd4fcecd15f303b1c7f7

Aliases

arxiv: 0707.1978 · arxiv_version: 0707.1978v3 · doi: 10.48550/arxiv.0707.1978 · pith_short_12: QBCOPE2K4FVO · pith_short_16: QBCOPE2K4FVOG7AF · pith_short_8: QBCOPE2K

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/QBCOPE2K4FVOG7AFYJCKQXZH7O \
  | 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: 8044e7934ae16ae37c05c244a85f27fb8ab28fca36a2bd4fcecd15f303b1c7f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3004e17a5006074dd2f14545f1f59b96fa3895320e88b75f38efe96ce3e74322",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2007-07-13T11:46:18Z",
    "title_canon_sha256": "60800efb51600d8b3ef1d6716c3cd7ca84d87538e3a987f73f2a84c4b2992d30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.1978",
    "kind": "arxiv",
    "version": 3
  }
}