Pith Number

pith:S5RZ7FO3

pith:2012:S5RZ7FO3TVEJEYJSQSMATBKDHD

not attested not anchored not stored refs pending

Black hole thermodynamical entropy

Constantino Tsallis, Leonardo J. L. Cirto

arxiv:1202.2154 v2 · 2012-02-09 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S5RZ7FO3TVEJEYJSQSMATBKDHD}

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

8 papers in Pith

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

Traversable Wormholes Supported by Entropy-Inspired Effective Matter Sectors

Scalar-Tensor Gravity as a Probe of Generalized Black Hole Entropy

Revisiting the Hubble tension problem in the framework of holographic dark energy

Thermodynamics vs Teleodynamics: A Cosmological Divide?

Receipt and verification

First computed	2026-05-18T03:19:13.449087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97639f95db9d48926132849809854338fc10194f65026ee3a9864d12850cc0ca

Aliases

arxiv: 1202.2154 · arxiv_version: 1202.2154v2 · doi: 10.48550/arxiv.1202.2154 · pith_short_12: S5RZ7FO3TVEJ · pith_short_16: S5RZ7FO3TVEJEYJS · pith_short_8: S5RZ7FO3

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/S5RZ7FO3TVEJEYJSQSMATBKDHD \
  | 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: 97639f95db9d48926132849809854338fc10194f65026ee3a9864d12850cc0ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4497d015bfffca814caafddc9afeb6d71c76a47dc100ddb21dcd424e5eb9d60a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-02-09T23:57:46Z",
    "title_canon_sha256": "da1a2d96e5e6a4dab3828913ace2fbe2e18b06b1bb63e222401fe4c631637e48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2154",
    "kind": "arxiv",
    "version": 2
  }
}