Pith Number

pith:EXGOFVEB

pith:2012:EXGOFVEBL5OSED4W4JOC3ANAPQ

not attested not anchored not stored refs pending

An algebraic formulation of causality for noncommutative geometry

Micha{\l} Eckstein, Nicolas Franco

arxiv:1212.5171 v3 · 2012-12-20 · math-ph · gr-qc · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EXGOFVEBL5OSED4W4JOC3ANAPQ}

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	2026-05-18T03:21:23.891767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25cce2d4815f5d220f96e25c2d81a07c0a1c7d5d1516f32a351965f009aa0e2b

Aliases

arxiv: 1212.5171 · arxiv_version: 1212.5171v3 · doi: 10.48550/arxiv.1212.5171 · pith_short_12: EXGOFVEBL5OS · pith_short_16: EXGOFVEBL5OSED4W · pith_short_8: EXGOFVEB

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/EXGOFVEBL5OSED4W4JOC3ANAPQ \
  | 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: 25cce2d4815f5d220f96e25c2d81a07c0a1c7d5d1516f32a351965f009aa0e2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "119bd0f33ad11ccc29a20b9919cf6307293ded28bf82ea750c6d40230ffcf4dc",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-20T18:08:14Z",
    "title_canon_sha256": "93a01a4e2b59c6d5b58ad50479cb344b262564957ad39b76c7fde31b31d4a9be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5171",
    "kind": "arxiv",
    "version": 3
  }
}