Pith Number

pith:WGG7T72E

pith:1996:WGG7T72ESW2VTXVJT7U2KNHV6I

not attested not anchored not stored refs pending

3+1 General Relativity in Hyperbolic Form

A.M. Abrahams, jr, J.W. York

arxiv:gr-qc/9601031 v1 · 1996-01-20 · 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{WGG7T72ESW2VTXVJT7U2KNHV6I}

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	2026-05-18T03:47:41.674695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b18df9ff4495b559dea99fe9a534f5f21b9ee09a6e46b779e83679af51ef8cd3

Aliases

arxiv: gr-qc/9601031 · arxiv_version: gr-qc/9601031v1 · doi: 10.48550/arxiv.gr-qc/9601031 · pith_short_12: WGG7T72ESW2V · pith_short_16: WGG7T72ESW2VTXVJ · pith_short_8: WGG7T72E

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/WGG7T72ESW2VTXVJT7U2KNHV6I \
  | 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: b18df9ff4495b559dea99fe9a534f5f21b9ee09a6e46b779e83679af51ef8cd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbcbd831a482a311deb37e97abc6b6f7212d14803f396f61168fd074c114c859",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1996-01-20T22:15:56Z",
    "title_canon_sha256": "c953df604e57705f9c3481a32158da5847224370a7dd00faf14a848093a2cc0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9601031",
    "kind": "arxiv",
    "version": 1
  }
}