Pith Number

pith:LRBKYCQU

pith:2006:LRBKYCQUYWBTMNDTQSVREIL2MS

not attested not anchored not stored refs pending

Thermodynamical properties of the Universe with dark energy

Anzhong Wang, Bin Wang, Yungui Gong

arxiv:gr-qc/0610151 v2 · 2006-10-30 · gr-qc · astro-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRBKYCQUYWBTMNDTQSVREIL2MS}

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	2026-05-18T04:38:36.818469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c42ac0a14c58336347384ab12217a64886bff4de45af46b96891caeaf930b0d

Aliases

arxiv: gr-qc/0610151 · arxiv_version: gr-qc/0610151v2 · doi: 10.48550/arxiv.gr-qc/0610151 · pith_short_12: LRBKYCQUYWBT · pith_short_16: LRBKYCQUYWBTMNDT · pith_short_8: LRBKYCQU

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/LRBKYCQUYWBTMNDTQSVREIL2MS \
  | 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: 5c42ac0a14c58336347384ab12217a64886bff4de45af46b96891caeaf930b0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72fb2898e4ad8664effbb8a949cc60932ff58286cbde144a018402ac04e2183f",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-10-30T18:16:54Z",
    "title_canon_sha256": "d1e394bb52266de0173294f8a6cabf05fe6ed8d134801040638d06405940a683"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0610151",
    "kind": "arxiv",
    "version": 2
  }
}