Pith Number

pith:S2PII3NL

pith:2026:S2PII3NLPCP25SLW53RNH2YJA4

not attested not anchored not stored refs pending

Cosmological consequences of scale-dependent Barrow-Tsallis entropy

Giuseppe Gaetano Luciano, Marco Muccino, Orlando Luongo

arxiv:2607.26105 v1 · 2026-07-28 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S2PII3NLPCP25SLW53RNH2YJA4}

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.

Receipt and verification

First computed	2026-07-30T00:08:21.581867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

969e846dab789faec976eee2d3eb09070d4b9b189aeb6fa31be7353a6aa116f7

Aliases

arxiv: 2607.26105 · arxiv_version: 2607.26105v1 · doi: 10.48550/arxiv.2607.26105 · pith_short_12: S2PII3NLPCP2 · pith_short_16: S2PII3NLPCP25SLW · pith_short_8: S2PII3NL

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/S2PII3NLPCP25SLW53RNH2YJA4 \
  | 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: 969e846dab789faec976eee2d3eb09070d4b9b189aeb6fa31be7353a6aa116f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a90b48e891bcb39f5af2c2341088d87980686cf1b48c44f8befe124e71e901bc",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-28T08:56:55Z",
    "title_canon_sha256": "d15c631b0116da1234e226f553815e125039572aa87664bba4cdcdcacb4fdd95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26105",
    "kind": "arxiv",
    "version": 1
  }
}