Pith Number

pith:QWPU3NPD

pith:2021:QWPU3NPDL7CXANZISTY7G4RVYY

not attested not anchored not stored refs pending

Bulk entropy is crucial to validate the second law of the extended black hole thermodynamics

De-Chang Dai, Dejan Stojkovic, Djordje Minic

arxiv:2111.03359 v1 · 2021-11-05 · 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{QWPU3NPDL7CXANZISTY7G4RVYY}

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	2026-07-05T03:45:53.433702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

859f4db5e35fc570372894f1f37235c63a138bbb276ab3839eb719bea049e933

Aliases

arxiv: 2111.03359 · arxiv_version: 2111.03359v1 · doi: 10.48550/arxiv.2111.03359 · pith_short_12: QWPU3NPDL7CX · pith_short_16: QWPU3NPDL7CXANZI · pith_short_8: QWPU3NPD

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/QWPU3NPDL7CXANZISTY7G4RVYY \
  | 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: 859f4db5e35fc570372894f1f37235c63a138bbb276ab3839eb719bea049e933

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12f8f043b8f194cc587d4ca810e5dd9a33a21d78fe10e912b5706d993a9f2fe9",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-11-05T10:01:29Z",
    "title_canon_sha256": "d46d45661ee42c0685b9cb0a215614ff441ed1e1eab5795e7aa51a84c8d71455"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.03359",
    "kind": "arxiv",
    "version": 1
  }
}