Pith Number

pith:PUEJWN6R

pith:2023:PUEJWN6RUDGFV2NUUZLONIYPTM

not attested not anchored not stored refs pending

First law of thermodynamics and entropy of FLRW universe in modified gravity

Lorenzo Sebastiani

arxiv:2307.04509 v1 · 2023-07-10 · 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{PUEJWN6RUDGFV2NUUZLONIYPTM}

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	2026-07-05T07:14:15.042488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d089b37d1a0cc5ae9b4a656e6a30f9b18cde30ee893fb97b12c45cae736920b

Aliases

arxiv: 2307.04509 · arxiv_version: 2307.04509v1 · doi: 10.48550/arxiv.2307.04509 · pith_short_12: PUEJWN6RUDGF · pith_short_16: PUEJWN6RUDGFV2NU · pith_short_8: PUEJWN6R

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/PUEJWN6RUDGFV2NUUZLONIYPTM \
  | 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: 7d089b37d1a0cc5ae9b4a656e6a30f9b18cde30ee893fb97b12c45cae736920b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31df61146402a6d4d6021d09c2459dfb9ff941fcf8c6f0addc2f5841de3acbc9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-07-10T12:06:38Z",
    "title_canon_sha256": "0289b94210c4b31b8f5666c5049edfed994aad8cb5bb3012d9df547ffb8537c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.04509",
    "kind": "arxiv",
    "version": 1
  }
}