Pith Number

pith:VHFS2ADS

pith:2004:VHFS2ADSG26BIKJRPFWYUO3ENU

not attested not anchored not stored refs pending

Local thermal equilibrium and ideal gas Stephani universes

Bartolom\'e Coll, Joan Josep Ferrando

arxiv:gr-qc/0406122 v1 · 2004-06-30 · 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{VHFS2ADSG26BIKJRPFWYUO3ENU}

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	2026-05-18T01:09:00.379769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9cb2d007236bc142931796d8a3b646d1f1afd184d0a782ba94907b257540a5c

Aliases

arxiv: gr-qc/0406122 · arxiv_version: gr-qc/0406122v1 · doi: 10.48550/arxiv.gr-qc/0406122 · pith_short_12: VHFS2ADSG26B · pith_short_16: VHFS2ADSG26BIKJR · pith_short_8: VHFS2ADS

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/VHFS2ADSG26BIKJRPFWYUO3ENU \
  | 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: a9cb2d007236bc142931796d8a3b646d1f1afd184d0a782ba94907b257540a5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "980e439b889bb9e883fea9eeabbe4706e05c05b616f03a2554ac11356d7ab30b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-06-30T14:18:42Z",
    "title_canon_sha256": "58aa888be02741fdf1f20014fce3e1c85e63c47b8417d86803685dc56c1f2acb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0406122",
    "kind": "arxiv",
    "version": 1
  }
}