Pith Number

pith:65FLFXM2

pith:2012:65FLFXM2C7NPL3A4PSQIG5UHJ5

not attested not anchored not stored refs pending

Thermodynamics of the inhomogeneous perfect fluid LTB model: Modified Bekenstein-Hawking system

Subenoy Chakraborty, Subhajit Saha

arxiv:1212.5993 v3 · 2012-12-25 · physics.gen-ph · 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{65FLFXM2C7NPL3A4PSQIG5UHJ5}

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	2026-05-18T00:50:31.445115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f74ab2dd9a17daf5ec1c7ca08376874f547e2aa3263e290bdd5dc09ccb7d77b3

Aliases

arxiv: 1212.5993 · arxiv_version: 1212.5993v3 · doi: 10.48550/arxiv.1212.5993 · pith_short_12: 65FLFXM2C7NP · pith_short_16: 65FLFXM2C7NPL3A4 · pith_short_8: 65FLFXM2

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/65FLFXM2C7NPL3A4PSQIG5UHJ5 \
  | 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: f74ab2dd9a17daf5ec1c7ca08376874f547e2aa3263e290bdd5dc09ccb7d77b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beaa9b13ed06ae583a3273938c07630e1ab6648fd627089631967f78cf057cd2",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2012-12-25T05:23:25Z",
    "title_canon_sha256": "03c61fa3c0e0a06a8cb9b98d8967c1fb6b3fcce57e7f93129cefd6e42d6db928"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5993",
    "kind": "arxiv",
    "version": 3
  }
}