Pith Number

pith:7R43QDDE

pith:1999:7R43QDDERNGEAJQFJFZC6TCOK3

not attested not anchored not stored refs pending

Partially locally rotationally symmetric perfect fluid cosmologies

George F R Ellis, Henk van Elst, Mattias Marklund (University of Cape Town), Nazeem Mustapha

arxiv:gr-qc/9912107 v2 · 1999-12-27 · 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{7R43QDDERNGEAJQFJFZC6TCOK3}

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	2026-05-18T02:37:27.815786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc79b80c648b4c40260549722f4c4e56c41091237dab7d9036f61cdb5d9827d0

Aliases

arxiv: gr-qc/9912107 · arxiv_version: gr-qc/9912107v2 · doi: 10.48550/arxiv.gr-qc/9912107 · pith_short_12: 7R43QDDERNGE · pith_short_16: 7R43QDDERNGEAJQF · pith_short_8: 7R43QDDE

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/7R43QDDERNGEAJQFJFZC6TCOK3 \
  | 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: fc79b80c648b4c40260549722f4c4e56c41091237dab7d9036f61cdb5d9827d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf652a6c6a466fead70b3c951736440737bd7554fdd0da02faceebbb99e5aa6a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-12-27T11:42:03Z",
    "title_canon_sha256": "f00ea4232a68dcd59222258c470015c48a5b4df00039c3a67c86fde5a8673dda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9912107",
    "kind": "arxiv",
    "version": 2
  }
}