Pith Number

pith:3NQKZ7YL

pith:2005:3NQKZ7YLLII3RSLKOXLPOIZPBS

not attested not anchored not stored refs pending

Thermodynamics of an accelerated expanding universe

Bin Wang, Elcio Abdalla, Yungui Gong

arxiv:gr-qc/0511051 v1 · 2005-11-10 · 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{3NQKZ7YLLII3RSLKOXLPOIZPBS}

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

2 papers in Pith

Modified Cosmology from Mass-to-Horizon Relation: Background Evolution

Subtleties in non-equilibrium horizon thermodynamics of modified gravity theories

Receipt and verification

First computed	2026-07-04T16:55:19.907934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db60acff0b5a11b8c96a75d6f7232f0cb14a5759d7b2d2896bf467fa1a1521a7

Aliases

arxiv: gr-qc/0511051 · arxiv_version: gr-qc/0511051v1 · doi: 10.48550/arxiv.gr-qc/0511051 · pith_short_12: 3NQKZ7YLLII3 · pith_short_16: 3NQKZ7YLLII3RSLK · pith_short_8: 3NQKZ7YL

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/3NQKZ7YLLII3RSLKOXLPOIZPBS \
  | 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: db60acff0b5a11b8c96a75d6f7232f0cb14a5759d7b2d2896bf467fa1a1521a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a39fec0c21e118993a0df91a93c4f4e456347235459a1065561695b3c5fc486b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-11-10T13:47:28Z",
    "title_canon_sha256": "cf962f557e6606e2acb96662036bad18a7e4ae65bd0278bacaf348e22050222c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0511051",
    "kind": "arxiv",
    "version": 1
  }
}