Pith Number

pith:WIGNRBIZ

pith:1997:WIGNRBIZMNDLDGDZ5KGTQXOTUH

not attested not anchored not stored refs pending

Hyperbolic Formulation of General Relativity

Andrew Abrahams, Arlen Anderson, James W. York, jr, Yvonne Choquet-Bruhat

arxiv:gr-qc/9703010 v1 · 1997-03-04 · 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{WIGNRBIZMNDLDGDZ5KGTQXOTUH}

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	2026-05-18T03:47:41.639099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b20cd885196346b19879ea8d385dd3a1d5affea3adab5393095651e3e6e96825

Aliases

arxiv: gr-qc/9703010 · arxiv_version: gr-qc/9703010v1 · doi: 10.48550/arxiv.gr-qc/9703010 · pith_short_12: WIGNRBIZMNDL · pith_short_16: WIGNRBIZMNDLDGDZ · pith_short_8: WIGNRBIZ

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/WIGNRBIZMNDLDGDZ5KGTQXOTUH \
  | 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: b20cd885196346b19879ea8d385dd3a1d5affea3adab5393095651e3e6e96825

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "666070bfe715186ff48eb50c53bbeae4537999b3a082841aa58d88776ff4e6ce",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-03-04T15:11:22Z",
    "title_canon_sha256": "670b61be1cccc87ffdb9c6f2d4c4dcb406de7c5769a6ee666238c708db6f3134"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9703010",
    "kind": "arxiv",
    "version": 1
  }
}