Pith Number

pith:7KEC6BWF

pith:1992:7KEC6BWFL6VO2ZNCG2RV4Q5PXI

not attested not anchored not stored refs pending

Inhomogeneous and anisotropic cosmologies

M.A.H. MacCallum

arxiv:gr-qc/9212013 v1 · 1992-12-21 · 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{7KEC6BWFL6VO2ZNCG2RV4Q5PXI}

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	2026-05-18T04:25:39.467533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa882f06c55faaed65a236a35e43afba1b7bf3bb54ddcbd0be0bc635289492ae

Aliases

arxiv: gr-qc/9212013 · arxiv_version: gr-qc/9212013v1 · doi: 10.48550/arxiv.gr-qc/9212013 · pith_short_12: 7KEC6BWFL6VO · pith_short_16: 7KEC6BWFL6VO2ZNC · pith_short_8: 7KEC6BWF

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/7KEC6BWFL6VO2ZNCG2RV4Q5PXI \
  | 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: fa882f06c55faaed65a236a35e43afba1b7bf3bb54ddcbd0be0bc635289492ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20d05cfba39e6032ec53dd604034f622a8ac7de3b61cb0398e298ec2fe5a9127",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1992-12-21T15:49:52Z",
    "title_canon_sha256": "8d59ba9c43e223a06fffbe0a4c31e3d536c6e3edf15bd3902d71ab94fdfc481b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9212013",
    "kind": "arxiv",
    "version": 1
  }
}