Pith Number

pith:X4VWV2I4

pith:2004:X4VWV2I4RIVD5KBVPX2BUMQUHK

not attested not anchored not stored refs pending

Asymptotic silence of generic cosmological singularities

Claes Uggla (University of Karlstad), Henk van Elst (Queen Mary, Lars Andersson (University of Miami), University of London), Woei Chet Lim (Dalhousie University)

arxiv:gr-qc/0402051 v2 · 2004-02-11 · gr-qc · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4VWV2I4RIVD5KBVPX2BUMQUHK}

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	2026-07-04T15:45:44.042771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf2b6ae91c8a2a3ea8357df41a32143ab025c448ed5d91f586ed701861b395f9

Aliases

arxiv: gr-qc/0402051 · arxiv_version: gr-qc/0402051v2 · doi: 10.48550/arxiv.gr-qc/0402051 · pith_short_12: X4VWV2I4RIVD · pith_short_16: X4VWV2I4RIVD5KBV · pith_short_8: X4VWV2I4

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/X4VWV2I4RIVD5KBVPX2BUMQUHK \
  | 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: bf2b6ae91c8a2a3ea8357df41a32143ab025c448ed5d91f586ed701861b395f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7d82585674f2d8a4f40be3d27329853f76f1a8c81e87407a2c6b1509ecdb7b9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-02-11T10:49:38Z",
    "title_canon_sha256": "a95fcd795146db780c95e3e15b2f30ad65964fbb4bfd61bb4a388377e4527420"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0402051",
    "kind": "arxiv",
    "version": 2
  }
}