Pith Number

pith:QWL5WA4N

pith:2024:QWL5WA4NJH6Q6I2ZEGWOSSXNOC

not attested not anchored not stored refs pending

Thermodynamics of the $H^2 + H^{-2}$ Dark Energy model

Chao-Jun Feng, Chenggang Shu, Guo Chen, Wei Fang

arxiv:2411.00047 v1 · 2024-10-30 · gr-qc · astro-ph.CO · 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{QWL5WA4NJH6Q6I2ZEGWOSSXNOC}

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	2026-07-05T09:29:36.827880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8597db038d49fd0f235921ace94aed70b575561a54d50d541e78d2fdb8520dd5

Aliases

arxiv: 2411.00047 · arxiv_version: 2411.00047v1 · doi: 10.48550/arxiv.2411.00047 · pith_short_12: QWL5WA4NJH6Q · pith_short_16: QWL5WA4NJH6Q6I2Z · pith_short_8: QWL5WA4N

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/QWL5WA4NJH6Q6I2ZEGWOSSXNOC \
  | 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: 8597db038d49fd0f235921ace94aed70b575561a54d50d541e78d2fdb8520dd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bfb4115a2b9d9b1f3139a74e60fcdc22a5b4082ae6c18dcf31e087939974c86",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-10-30T03:03:10Z",
    "title_canon_sha256": "835b611568869e9423fd729d1a9247c48347d61597ed875ad6e60f3092cd886e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.00047",
    "kind": "arxiv",
    "version": 1
  }
}