Pith Number

pith:SUKYIO5V

pith:2025:SUKYIO5VJABWSDEVQBPYFYUMPE

not attested not anchored not stored refs pending

Entanglement Entropy and Thermodynamics of Dynamical Black Holes

Christina Gao, Qiongyu Qi, Weizhen Jia

arxiv:2509.05700 v3 · 2025-09-06 · 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{SUKYIO5VJABWSDEVQBPYFYUMPE}

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	2026-05-20T01:04:57.019301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9515843bb54803690c95805f82e28c79090a46a2801f9b80f96b826c9d9132c8

Aliases

arxiv: 2509.05700 · arxiv_version: 2509.05700v3 · doi: 10.48550/arxiv.2509.05700 · pith_short_12: SUKYIO5VJABW · pith_short_16: SUKYIO5VJABWSDEV · pith_short_8: SUKYIO5V

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/SUKYIO5VJABWSDEVQBPYFYUMPE \
  | 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: 9515843bb54803690c95805f82e28c79090a46a2801f9b80f96b826c9d9132c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62fbb509dd4c842b1655ac873ff962ab55796ce07e61e07127cfeaaf6f758e86",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-09-06T12:32:39Z",
    "title_canon_sha256": "0254395d9b5334e33e5204596c22d750be65acab2b4c2cc3a4107df277acf2e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.05700",
    "kind": "arxiv",
    "version": 3
  }
}