Pith Number

pith:B5LAZZZZ

pith:2026:B5LAZZZZEMTV4YXDRH5NMQ6JJS

not attested not anchored not stored refs pending

Black hole thermodynamics at null infinity. Part 2: Open systems, Markovian dynamics and work extraction from non-rotating black holes

Antoine Rignon-Bret, Matthieu Vilatte

arxiv:2601.03356 v2 · 2026-01-06 · 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{B5LAZZZZEMTV4YXDRH5NMQ6JJS}

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	2026-08-04T02:39:55.001435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f560ce73923275e62e389fad643c94c946ad3f3009cd9a0866143427a0b8467

Aliases

arxiv: 2601.03356 · arxiv_version: 2601.03356v2 · doi: 10.48550/arxiv.2601.03356 · pith_short_12: B5LAZZZZEMTV · pith_short_16: B5LAZZZZEMTV4YXD · pith_short_8: B5LAZZZZ

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/B5LAZZZZEMTV4YXDRH5NMQ6JJS \
  | 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: 0f560ce73923275e62e389fad643c94c946ad3f3009cd9a0866143427a0b8467

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fe2dff1b1114d32c30cbca1ef2a7c584912f72c2ed65a53c3aded30828ae9c1",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-01-06T19:00:34Z",
    "title_canon_sha256": "35da0f8f90e868637605052422fd26096dfc37ebe5ca87626c7f4048e452c057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.03356",
    "kind": "arxiv",
    "version": 2
  }
}