Pith Number

pith:OTVAS3G4

pith:1993:OTVAS3G4FO6SQOMNQTX5B2BO6Q

not attested not anchored not stored refs pending

Gravity, Non-Commutative Geometry and the Wodzicki Residue

M.Walze, W.Kalau

arxiv:gr-qc/9312031 v1 · 1993-12-21 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OTVAS3G4FO6SQOMNQTX5B2BO6Q}

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.

Cited by

1 paper in Pith

On Geometric Spectral Functionals

Receipt and verification

First computed	2026-05-18T01:39:19.815281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74ea096cdc2bbd28398d84efd0e82ef417a90ae0522a788d8cff2a1debc9188b

Aliases

arxiv: gr-qc/9312031 · arxiv_version: gr-qc/9312031v1 · doi: 10.48550/arxiv.gr-qc/9312031 · pith_short_12: OTVAS3G4FO6S · pith_short_16: OTVAS3G4FO6SQOMN · pith_short_8: OTVAS3G4

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/OTVAS3G4FO6SQOMNQTX5B2BO6Q \
  | 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: 74ea096cdc2bbd28398d84efd0e82ef417a90ae0522a788d8cff2a1debc9188b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67631a83ca151e4209b62509595a86d4e119b7c7361a07b571c9282d7d80b74c",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1993-12-21T18:32:45Z",
    "title_canon_sha256": "729f2d2c7d3992b3af800b010b7518c7201d0aa3ba2e9eb7851a66738173b7d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9312031",
    "kind": "arxiv",
    "version": 1
  }
}