Pith Number

pith:GXK3RPHP

pith:2024:GXK3RPHPYFCKU7BKRMWDIG5ACL

not attested not anchored not stored refs pending

Properties of Dynamical Black Hole Entropy

Manus R. Visser, Zihan Yan

arxiv:2403.07140 v2 · 2024-03-11 · hep-th · 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{GXK3RPHPYFCKU7BKRMWDIG5ACL}

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

6 papers in Pith

The entropy of black hole under second-order deviation from equilibrium

Holographic pressure and volume for black holes

Entanglement Entropy and Thermodynamics of Dynamical Black Holes

Semi-classical spacetime thermodynamics

Receipt and verification

First computed	2026-07-05T10:14:38.784000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35d5b8bcefc144aa7c2a8b2c341ba012ecf495b1ba67f244373f84b05588d311

Aliases

arxiv: 2403.07140 · arxiv_version: 2403.07140v2 · doi: 10.48550/arxiv.2403.07140 · pith_short_12: GXK3RPHPYFCK · pith_short_16: GXK3RPHPYFCKU7BK · pith_short_8: GXK3RPHP

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/GXK3RPHPYFCKU7BKRMWDIG5ACL \
  | 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: 35d5b8bcefc144aa7c2a8b2c341ba012ecf495b1ba67f244373f84b05588d311

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e87937814b7e7b12ce536826f49eb5c56c2e07f09ea0eb31beeedcb3266dc64e",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-03-11T20:14:20Z",
    "title_canon_sha256": "76814dcc72cb9b3f370507dac3472edaf881135c52fb9292fcfdba8d2c95259f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.07140",
    "kind": "arxiv",
    "version": 2
  }
}