Pith Number

pith:GOEXOY7J

pith:2001:GOEXOY7JQUHCIL4J2AZWOG4RO4

not attested not anchored not stored refs pending

Future Global in time einsteinian spacetimes with U(1) isometry group

Vincent Moncrief, Yvonne Choquet-Bruhat

arxiv:gr-qc/0112049 v1 · 2001-12-19 · 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{GOEXOY7JQUHCIL4J2AZWOG4RO4}

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

Nonlinear stability of Einstein-de Sitter universes

Receipt and verification

First computed	2026-05-18T00:03:00.826228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33897763e9850e242f89d033671b9177037aea8a415b9ef9f9e6b2711d42160d

Aliases

arxiv: gr-qc/0112049 · arxiv_version: gr-qc/0112049v1 · doi: 10.48550/arxiv.gr-qc/0112049 · pith_short_12: GOEXOY7JQUHC · pith_short_16: GOEXOY7JQUHCIL4J · pith_short_8: GOEXOY7J

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/GOEXOY7JQUHCIL4J2AZWOG4RO4 \
  | 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: 33897763e9850e242f89d033671b9177037aea8a415b9ef9f9e6b2711d42160d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc47046c5b1ced2a63262e95607cee1230f7759c96bbe2ab05f28424ef33a154",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-12-19T12:53:41Z",
    "title_canon_sha256": "fb0775caf84ba186335cc0c2f0ec7ac207ff6eb2159f0c6c9dfdde1e2e5c0384"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0112049",
    "kind": "arxiv",
    "version": 1
  }
}