Pith Number

pith:QZHUKJHM

pith:1994:QZHUKJHMY4PHTL6ALHY7LQNHON

not attested not anchored not stored refs pending

The Patchwork Divergence Theorem

Charles Hellaby, Tevian Dray

arxiv:gr-qc/9404002 v1 · 1994-04-02 · gr-qc · dg-ga · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZHUKJHMY4PHTL6ALHY7LQNHON}

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	2026-05-18T04:17:52.754222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

864f4524ecc71e79afc059f1f5c1a7736cac2a750fa194a2519c1ec565fe8d08

Aliases

arxiv: gr-qc/9404002 · arxiv_version: gr-qc/9404002v1 · doi: 10.48550/arxiv.gr-qc/9404002 · pith_short_12: QZHUKJHMY4PH · pith_short_16: QZHUKJHMY4PHTL6A · pith_short_8: QZHUKJHM

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/QZHUKJHMY4PHTL6ALHY7LQNHON \
  | 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: 864f4524ecc71e79afc059f1f5c1a7736cac2a750fa194a2519c1ec565fe8d08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbe363e98ece5ab9b541ac5a749e22d299bb24c45e918594de683cd95b462551",
    "cross_cats_sorted": [
      "dg-ga",
      "math.DG"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1994-04-02T15:07:33Z",
    "title_canon_sha256": "2cebdfe0b09855934d66af8a3450d6a3ba822a86b9a1053ae33820765bdae23b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9404002",
    "kind": "arxiv",
    "version": 1
  }
}