Pith Number

pith:3U5U24OJ

pith:2021:3U5U24OJNWFRL45UWMZRSD6WIT

not attested not anchored not stored refs pending

Thermodynamics and phase transitions of black holes in contact with a gravitating heat bath

Charis Anastopoulos, Demetrios Kotopoulis

arxiv:2105.11817 v1 · 2021-05-25 · 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{3U5U24OJNWFRL45UWMZRSD6WIT}

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	2026-07-05T03:16:16.682815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd3b4d71c96d8b15f3b4b333190fd644fa394b0316cebb30adaeb0cca0a4d029

Aliases

arxiv: 2105.11817 · arxiv_version: 2105.11817v1 · doi: 10.48550/arxiv.2105.11817 · pith_short_12: 3U5U24OJNWFR · pith_short_16: 3U5U24OJNWFRL45U · pith_short_8: 3U5U24OJ

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/3U5U24OJNWFRL45UWMZRSD6WIT \
  | 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: dd3b4d71c96d8b15f3b4b333190fd644fa394b0316cebb30adaeb0cca0a4d029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c152d4fe5daf685815fa58b2666fc2b83ad6e9a97e95bf348d0b7f3449a02337",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-05-25T10:36:08Z",
    "title_canon_sha256": "27a3ed6efc7741425fe762a71d99370e4a1ce48b1ee546895bd48d963cf08f50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.11817",
    "kind": "arxiv",
    "version": 1
  }
}