Pith Number

pith:4TVJYRGJ

pith:2000:4TVJYRGJB7HJYQH32OPPUUXHMU

not attested not anchored not stored refs pending

A class of perfect-fluid cosmologies with polarised Gowdy symmetry and a Kasner-like singularity

Keith Anguige

arxiv:gr-qc/0005086 v1 · 2000-05-19 · 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{4TVJYRGJB7HJYQH32OPPUUXHMU}

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	2026-05-18T01:06:48.066762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4ea9c44c90fce9c40fbd39efa52e7652541caded6fd53a3b9ebf4ec92c37b2d

Aliases

arxiv: gr-qc/0005086 · arxiv_version: gr-qc/0005086v1 · doi: 10.48550/arxiv.gr-qc/0005086 · pith_short_12: 4TVJYRGJB7HJ · pith_short_16: 4TVJYRGJB7HJYQH3 · pith_short_8: 4TVJYRGJ

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/4TVJYRGJB7HJYQH32OPPUUXHMU \
  | 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: e4ea9c44c90fce9c40fbd39efa52e7652541caded6fd53a3b9ebf4ec92c37b2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "021b460d1f287cfb82fcdac254a633546b5f0a0c8fb1699e2df11811efcd9a9f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-05-19T11:26:38Z",
    "title_canon_sha256": "62e339c4bd170e27f77835a6206c9cb82e490cf78a9e1dd8f72648ed1cd1f86c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0005086",
    "kind": "arxiv",
    "version": 1
  }
}