Pith Number

pith:I2U4YH63

pith:1999:I2U4YH637MSGJ4YMDAMYDPX5SM

not attested not anchored not stored refs pending

Isotropic cosmological singularities 2: The Einstein-Vlasov system

K. Anguige (Max Planck Institut fuer Gravitationsphysik, K. P. Tod (Mathematical Institute, Oxford), Potsdam)

arxiv:gr-qc/9903009 v1 · 1999-03-02 · 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{I2U4YH637MSGJ4YMDAMYDPX5SM}

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

The free boundary problem in general relativity

Receipt and verification

First computed	2026-07-04T16:13:49.639503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46a9cc1fdbfb2464f30c181981befd9303ff83521eee97c016d8d35daa0ee90f

Aliases

arxiv: gr-qc/9903009 · arxiv_version: gr-qc/9903009v1 · doi: 10.48550/arxiv.gr-qc/9903009 · pith_short_12: I2U4YH637MSG · pith_short_16: I2U4YH637MSGJ4YM · pith_short_8: I2U4YH63

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/I2U4YH637MSGJ4YMDAMYDPX5SM \
  | 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: 46a9cc1fdbfb2464f30c181981befd9303ff83521eee97c016d8d35daa0ee90f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "190a7b26fb53ade81e733f1ebaaff42b431e7bcfec22e498bbeeec0ca7bf2d38",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-03-02T12:28:53Z",
    "title_canon_sha256": "48556b98d728241e0a90d343e52d39131445d1da404ad5db5a21e650c5244bdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9903009",
    "kind": "arxiv",
    "version": 1
  }
}