Pith Number

pith:GNDPGCSX

pith:1999:GNDPGCSXXXFI67CFNTB76H3H7G

not attested not anchored not stored refs pending

Isotropic cosmological singularities 3: The Cauchy problem for the inhomogeneous conformal Einstein-Vlasov equations

K. Anguige (Max Planck Institut fuer Gravitationsphysik, Potsdam)

arxiv:gr-qc/9903018 v2 · 1999-03-05 · 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{GNDPGCSXXXFI67CFNTB76H3H7G}

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	2026-05-18T04:17:52.465813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3346f30a57bdca8f7c456cc3ff1f67f99c5bc9112712617bc5dfde39c84c4538

Aliases

arxiv: gr-qc/9903018 · arxiv_version: gr-qc/9903018v2 · doi: 10.48550/arxiv.gr-qc/9903018 · pith_short_12: GNDPGCSXXXFI · pith_short_16: GNDPGCSXXXFI67CF · pith_short_8: GNDPGCSX

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/GNDPGCSXXXFI67CFNTB76H3H7G \
  | 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: 3346f30a57bdca8f7c456cc3ff1f67f99c5bc9112712617bc5dfde39c84c4538

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8dabad5646ef2bbaf19dbc95b7efea6c53e2f45567d967fdbb3346d963e306c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-03-05T10:33:12Z",
    "title_canon_sha256": "e656a25ae5fcbac97978f40a65d7eb24417a1232002f7d338bdeca77ff13aaf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9903018",
    "kind": "arxiv",
    "version": 2
  }
}