Pith Number

pith:CZTG2R36

pith:2022:CZTG2R36LUKGFNGMWMXDOOISKT

not attested not anchored not stored refs pending

How Barrow Entropy Modifies Gravity: With Comments on Tsallis Entropy

Hao Xu, Sofia Di Gennaro, Yen Chin Ong

arxiv:2207.09271 v2 · 2022-07-19 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZTG2R36LUKGFNGMWMXDOOISKT}

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

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

Receipt and verification

First computed	2026-07-05T05:24:39.226373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16666d477e5d1462b4ccb32e37391254e02f9ff323240a30c05b9a9c39d9070f

Aliases

arxiv: 2207.09271 · arxiv_version: 2207.09271v2 · doi: 10.48550/arxiv.2207.09271 · pith_short_12: CZTG2R36LUKG · pith_short_16: CZTG2R36LUKGFNGM · pith_short_8: CZTG2R36

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/CZTG2R36LUKGFNGMWMXDOOISKT \
  | 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: 16666d477e5d1462b4ccb32e37391254e02f9ff323240a30c05b9a9c39d9070f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c95ddeb42d9b4228824f29882fdee71423e73d815cb93df18fd570d22dba4284",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-07-19T13:29:55Z",
    "title_canon_sha256": "c644699dfc08269a790c312ec2851130866967fcf4cf8560fbb78bfae98d56e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.09271",
    "kind": "arxiv",
    "version": 2
  }
}