Pith Number

pith:W5YEXWYW

pith:2000:W5YEXWYWBMTH2PB2FJUCV7VHRS

not attested not anchored not stored refs pending

Self-similar spherically symmetric cosmological models with a perfect fluid and a scalar field

Alan Coley, Martin Goliath

arxiv:gr-qc/0003080 v1 · 2000-03-20 · 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{W5YEXWYWBMTH2PB2FJUCV7VHRS}

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.

Cited by

1 paper in Pith

Asymptotic Theorems and Averaging in Scalar Field Cosmology

Receipt and verification

First computed	2026-05-18T04:35:35.419309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7704bdb160b267d3c3a2a682afea78c9e1ca92b0657712e7d4ab6440d9aeea1

Aliases

arxiv: gr-qc/0003080 · arxiv_version: gr-qc/0003080v1 · doi: 10.48550/arxiv.gr-qc/0003080 · pith_short_12: W5YEXWYWBMTH · pith_short_16: W5YEXWYWBMTH2PB2 · pith_short_8: W5YEXWYW

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/W5YEXWYWBMTH2PB2FJUCV7VHRS \
  | 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: b7704bdb160b267d3c3a2a682afea78c9e1ca92b0657712e7d4ab6440d9aeea1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "251ed9f37a75ee708d9a462022ac914e449682a0d3c2d38e84aa445e20bfd54c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-03-20T09:22:55Z",
    "title_canon_sha256": "76a370910529651b95f0d2bbca79d97e403c93da64b1a59ede5e029ac39427fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0003080",
    "kind": "arxiv",
    "version": 1
  }
}