Pith Number

pith:A3ZUOD75

pith:1992:A3ZUOD75CLPRI2O6QQK7V7WFLH

not attested not anchored not stored refs pending

Trapped surfaces and spherical closed cosmologies

Edward Malec, Niall \'O Murchadha

arxiv:gr-qc/9208008 v1 · 1992-08-19 · gr-qc · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A3ZUOD75CLPRI2O6QQK7V7WFLH}

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	2026-07-04T15:54:50.401720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06f3470ffd12df1469de8415fafec559e872d0436756f65d1404cf6ca5d80b1f

Aliases

arxiv: gr-qc/9208008 · arxiv_version: gr-qc/9208008v1 · doi: 10.48550/arxiv.gr-qc/9208008 · pith_short_12: A3ZUOD75CLPR · pith_short_16: A3ZUOD75CLPRI2O6 · pith_short_8: A3ZUOD75

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/A3ZUOD75CLPRI2O6QQK7V7WFLH \
  | 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: 06f3470ffd12df1469de8415fafec559e872d0436756f65d1404cf6ca5d80b1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "247d06bfaa11b134cb2fd0138e704ee29c7e5b4a9d440564a79cec1deea0c684",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1992-08-19T15:19:00Z",
    "title_canon_sha256": "a33a4286ece594f99237f13999eb984eb055bf299c7ba7f4f1967b51805e55cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9208008",
    "kind": "arxiv",
    "version": 1
  }
}