Pith Number

pith:N7CZVC6J

pith:1998:N7CZVC6JGXK7SGTMXXC4QVS32W

not attested not anchored not stored refs pending

The structure of singularities in inhomogeneous cosmological models

Alan D. Rendall

arxiv:gr-qc/9804036 v1 · 1998-04-17 · 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{N7CZVC6JGXK7SGTMXXC4QVS32W}

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	2026-07-04T14:26:11.295308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fc59a8bc935d5f91a6cbdc5c8565bd5a1fb4824dd33c1852422724c631a59e3

Aliases

arxiv: gr-qc/9804036 · arxiv_version: gr-qc/9804036v1 · doi: 10.48550/arxiv.gr-qc/9804036 · pith_short_12: N7CZVC6JGXK7 · pith_short_16: N7CZVC6JGXK7SGTM · pith_short_8: N7CZVC6J

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/N7CZVC6JGXK7SGTMXXC4QVS32W \
  | 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: 6fc59a8bc935d5f91a6cbdc5c8565bd5a1fb4824dd33c1852422724c631a59e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8b51bae4cf60bdf5851fcbdb60f79a2a2d1ab74f12e7d0652e1a311d728e075",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-04-17T08:31:28Z",
    "title_canon_sha256": "81793076a28ce66f80a455e164292922541f74f444571dafb77d725b096b84ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9804036",
    "kind": "arxiv",
    "version": 1
  }
}