Pith Number

pith:F7EELVQB

pith:2022:F7EELVQBWQ466YCYH2KZQIIQPI

not attested not anchored not stored refs pending

Modified cosmology from the thermodynamics of apparent horizon

Sergei D. Odintsov, Shin'ichi Nojiri, Tanmoy Paul

arxiv:2211.02822 v1 · 2022-11-05 · 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{F7EELVQBWQ466YCYH2KZQIIQPI}

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

1 paper in Pith

The generalized second law as a thermodynamic selection criterion for dynamical dark energy

Receipt and verification

First computed	2026-07-05T05:25:09.341824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fc845d601b439ef60583e959821107a3a0382a28c291620c4bcc5a226bfe31c

Aliases

arxiv: 2211.02822 · arxiv_version: 2211.02822v1 · doi: 10.48550/arxiv.2211.02822 · pith_short_12: F7EELVQBWQ46 · pith_short_16: F7EELVQBWQ466YCY · pith_short_8: F7EELVQB

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/F7EELVQBWQ466YCYH2KZQIIQPI \
  | 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: 2fc845d601b439ef60583e959821107a3a0382a28c291620c4bcc5a226bfe31c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28f3fdb019ce02a849deb15ec4b05283f3e719109316cb142793a4aec156e06e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-11-05T06:28:44Z",
    "title_canon_sha256": "a554186357422d4103cae10344db8f53f4cca2cf171cd8b1fc11e4f23341663f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.02822",
    "kind": "arxiv",
    "version": 1
  }
}