Pith Number

pith:45I2ZIZI

pith:2020:45I2ZIZI632U5RBU3V67WOPTOV

not attested not anchored not stored refs pending

Thermodynamics in $f(R,\mathcal{L})$ theories: Apparent horizon in the FLRW spacetime

Behnam Pourhassan (Damghan University), Prabir Rudra (Asutosh College)

arxiv:2001.06299 v2 · 2020-01-14 · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45I2ZIZI632U5RBU3V67WOPTOV}

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	2026-07-05T01:00:38.909020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e751aca328f6f54ec434dd7dfb39f3757019d08a5600c36bb4893ded107ec5a3

Aliases

arxiv: 2001.06299 · arxiv_version: 2001.06299v2 · doi: 10.48550/arxiv.2001.06299 · pith_short_12: 45I2ZIZI632U · pith_short_16: 45I2ZIZI632U5RBU · pith_short_8: 45I2ZIZI

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/45I2ZIZI632U5RBU3V67WOPTOV \
  | 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: e751aca328f6f54ec434dd7dfb39f3757019d08a5600c36bb4893ded107ec5a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6146b0a14e661e4fddb952cb2e4f8a5fac8c55213683ef280ac45ca65d899b05",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2020-01-14T17:15:37Z",
    "title_canon_sha256": "1bad9de6907f1b301b17d422b25a8bdec0a08ae4d36b7c2d14c556e276c8facb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.06299",
    "kind": "arxiv",
    "version": 2
  }
}