Pith Number

pith:CTEEK4BJ

pith:2013:CTEEK4BJ4OMIRHXHDR6J675I7T

not attested not anchored not stored refs pending

The global extension problem, crossed products and co-flag non-commutative Poisson algebras

A.L. Agore, G. Militaru

arxiv:1309.1986 v3 · 2013-09-08 · math.RA · math-ph · math.DG · 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{CTEEK4BJ4OMIRHXHDR6J675I7T}

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	2026-05-18T02:30:08.593019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14c8457029e398889ee71c7c9f7fa8fcdba065d2c6075bd084e5b125994e0c72

Aliases

arxiv: 1309.1986 · arxiv_version: 1309.1986v3 · doi: 10.48550/arxiv.1309.1986 · pith_short_12: CTEEK4BJ4OMI · pith_short_16: CTEEK4BJ4OMIRHXH · pith_short_8: CTEEK4BJ

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/CTEEK4BJ4OMIRHXHDR6J675I7T \
  | 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: 14c8457029e398889ee71c7c9f7fa8fcdba065d2c6075bd084e5b125994e0c72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97b17a4c09fcc4e8cf801c6e5f4a663145cd72c08fbee80d49a3b1faf487b854",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-09-08T18:14:15Z",
    "title_canon_sha256": "fac1ca304da02f4346010bd0fb27edfae2d875454035aa45a60a034560a89ad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1986",
    "kind": "arxiv",
    "version": 3
  }
}