Pith Number

pith:52COAH44

pith:2007:52COAH44CDMMJRJLUURH5AP6CE

not attested not anchored not stored refs pending

Noncommutative Einstein Equations

Guglielmo Fucci, Ivan G. Avramidi

arxiv:0709.0015 v2 · 2007-08-31 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52COAH44CDMMJRJLUURH5AP6CE}

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	2026-05-18T04:28:37.092634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee84e01f9c10d8c4c52ba5227e81fe111cfdeaa2099b023ced030f90ed631d76

Aliases

arxiv: 0709.0015 · arxiv_version: 0709.0015v2 · doi: 10.48550/arxiv.0709.0015 · pith_short_12: 52COAH44CDMM · pith_short_16: 52COAH44CDMMJRJL · pith_short_8: 52COAH44

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/52COAH44CDMMJRJLUURH5AP6CE \
  | 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: ee84e01f9c10d8c4c52ba5227e81fe111cfdeaa2099b023ced030f90ed631d76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b61a8d26540a5df21fc54e58d0a141bf24cee094f2ce66cf61024919e36876c3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-08-31T21:20:45Z",
    "title_canon_sha256": "c4d6ecd2735b5d6ee71e937a9bb8ecc4e737767a9cd870c690e846ae810685e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0015",
    "kind": "arxiv",
    "version": 2
  }
}