Pith Number

pith:GDFM2MWH

pith:2012:GDFM2MWHSGJHGPUO4FIPBCIVMG

not attested not anchored not stored refs pending

Ore extensions and Poisson algebras

David A. Jordan

arxiv:1212.4063 v1 · 2012-12-17 · math.RA · 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{GDFM2MWHSGJHGPUO4FIPBCIVMG}

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	2026-05-18T03:38:21.604845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30cacd32c79192733e8ee150f0891561afdbc020b0fe446f1611564d5d5257b5

Aliases

arxiv: 1212.4063 · arxiv_version: 1212.4063v1 · doi: 10.48550/arxiv.1212.4063 · pith_short_12: GDFM2MWHSGJH · pith_short_16: GDFM2MWHSGJHGPUO · pith_short_8: GDFM2MWH

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/GDFM2MWHSGJHGPUO4FIPBCIVMG \
  | 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: 30cacd32c79192733e8ee150f0891561afdbc020b0fe446f1611564d5d5257b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06ab211074aed86bea344050951bde34131b4d37e819787bf70f01957eea818d",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-12-17T16:47:52Z",
    "title_canon_sha256": "5e58b2369459411ab9713ba4dea011c9125cb4fb93bef5ef5943de512576f39c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4063",
    "kind": "arxiv",
    "version": 1
  }
}