Pith Number

pith:FNVUDXEJ

pith:1993:FNVUDXEJ3LFXCEBCBEU3J2AZCQ

not attested not anchored not stored refs pending

A Noncommutative Extension of Gravity

J.Madore, J. Mourad

arxiv:gr-qc/9307030 v1 · 1993-07-22 · 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{FNVUDXEJ3LFXCEBCBEU3J2AZCQ}

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	2026-05-18T04:23:55.489576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b6b41dc89dacb7110220929b4e819142d49ec2ae334f58d4bfd27f7b58bbeb3

Aliases

arxiv: gr-qc/9307030 · arxiv_version: gr-qc/9307030v1 · doi: 10.48550/arxiv.gr-qc/9307030 · pith_short_12: FNVUDXEJ3LFX · pith_short_16: FNVUDXEJ3LFXCEBC · pith_short_8: FNVUDXEJ

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/FNVUDXEJ3LFXCEBCBEU3J2AZCQ \
  | 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: 2b6b41dc89dacb7110220929b4e819142d49ec2ae334f58d4bfd27f7b58bbeb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3135df6ce1aa7feea17f46d47e7dad67eac27359db9023981d1d64a31985fab5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1993-07-22T16:55:13Z",
    "title_canon_sha256": "58d167e7c3d56c33a76967e805725b9a50cc2238f770f9045095f12215bc93dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9307030",
    "kind": "arxiv",
    "version": 1
  }
}