Pith Number

pith:VN4QFVQT

pith:1995:VN4QFVQT5QKJWIAR4NZHWBIHGQ

not attested not anchored not stored refs pending

Trapped surfaces in cosmological spacetimes

Edward Malec, Niall \'O Murchadha

arxiv:gr-qc/9503029 v1 · 1995-03-16 · 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{VN4QFVQT5QKJWIAR4NZHWBIHGQ}

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	2026-05-18T01:06:44.879290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab7902d613ec149b2011e3727b05073411411ecb6df3a30e925137a742f73bc7

Aliases

arxiv: gr-qc/9503029 · arxiv_version: gr-qc/9503029v1 · doi: 10.48550/arxiv.gr-qc/9503029 · pith_short_12: VN4QFVQT5QKJ · pith_short_16: VN4QFVQT5QKJWIAR · pith_short_8: VN4QFVQT

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/VN4QFVQT5QKJWIAR4NZHWBIHGQ \
  | 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: ab7902d613ec149b2011e3727b05073411411ecb6df3a30e925137a742f73bc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13daba4b91723fd74cb4a87eb05fcfc21f57d296a1fe2f71a8f55d23a6172ba9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1995-03-16T20:28:28Z",
    "title_canon_sha256": "950d5804c8f96edeb8fe6c827fc265c04f78f339584d3e9db30c9b6ebb883167"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9503029",
    "kind": "arxiv",
    "version": 1
  }
}