Pith Number

pith:QJL5ZX7Z

pith:2012:QJL5ZX7ZTIIZSTWTI4PCJR34YB

not attested not anchored not stored refs pending

Irreversible thermodynamic description of interacting dark energy - dark matter cosmological models

Francisco S. N. Lobo, Tiberiu Harko

arxiv:1210.3617 v2 · 2012-10-12 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QJL5ZX7ZTIIZSTWTI4PCJR34YB}

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	2026-05-18T03:34:15.972728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8257dcdff99a11994ed3471e24c77cc07866c194efba7118c27baa4ecb8f7287

Aliases

arxiv: 1210.3617 · arxiv_version: 1210.3617v2 · doi: 10.48550/arxiv.1210.3617 · pith_short_12: QJL5ZX7ZTIIZ · pith_short_16: QJL5ZX7ZTIIZSTWT · pith_short_8: QJL5ZX7Z

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/QJL5ZX7ZTIIZSTWTI4PCJR34YB \
  | 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: 8257dcdff99a11994ed3471e24c77cc07866c194efba7118c27baa4ecb8f7287

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63b6c5fa797ead1a6928d6868c2bd3607649900814325a3fc05bffc359ed3405",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-10-12T12:04:47Z",
    "title_canon_sha256": "f231b272fa272f50a0bf55baf3bdc4014d99d5d9b015fb282a162d6114a75be7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3617",
    "kind": "arxiv",
    "version": 2
  }
}