Pith Number

pith:D4NVTZUW

pith:2012:D4NVTZUWM32ERVFFQ6VJJNLTS5

not attested not anchored not stored refs pending

Twisting Poisson algebras, coPoisson algebras and Quantization

Abdenacer Makhlouf, Martin Bordemann, Olivier Elchinger

arxiv:1205.0683 v1 · 2012-05-03 · math.RA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4NVTZUWM32ERVFFQ6VJJNLTS5}

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	2026-05-18T03:56:25.273859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f1b59e69666f448d4a587aa94b5739764afe492bdea76036dfd8c5f034b9eac

Aliases

arxiv: 1205.0683 · arxiv_version: 1205.0683v1 · doi: 10.48550/arxiv.1205.0683 · pith_short_12: D4NVTZUWM32E · pith_short_16: D4NVTZUWM32ERVFF · pith_short_8: D4NVTZUW

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/D4NVTZUWM32ERVFFQ6VJJNLTS5 \
  | 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: 1f1b59e69666f448d4a587aa94b5739764afe492bdea76036dfd8c5f034b9eac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a33bdce3d7ed23807100ecfd164080db485e20ca10c4375f9fbb5e7d42702f77",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-05-03T11:52:19Z",
    "title_canon_sha256": "807ee9ea6bf596ba5286db2708aced422c1f40bdcd2ca5dc2910c7fd35273097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0683",
    "kind": "arxiv",
    "version": 1
  }
}