Pith Number

pith:B2U27POG

pith:2020:B2U27POG6HXXYVJQ26KC3FDITL

not attested not anchored not stored refs pending

Hawking--Page phase transitions of the black holes in a cavity

Guo-Rong Liu, Nan Li, Wen-Bo Zhao

arxiv:2012.13921 v2 · 2020-12-27 · 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{B2U27POG6HXXYVJQ26KC3FDITL}

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

1 paper in Pith

Black holes at a finite distance: Quasi-local restricted phase space formalism

Receipt and verification

First computed	2026-07-05T03:18:25.948285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ea9afbdc6f1ef7c5530d7942d94689ae71dd9e9daffc2d4dfd1aedf157964e9

Aliases

arxiv: 2012.13921 · arxiv_version: 2012.13921v2 · doi: 10.48550/arxiv.2012.13921 · pith_short_12: B2U27POG6HXX · pith_short_16: B2U27POG6HXXYVJQ · pith_short_8: B2U27POG

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/B2U27POG6HXXYVJQ26KC3FDITL \
  | 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: 0ea9afbdc6f1ef7c5530d7942d94689ae71dd9e9daffc2d4dfd1aedf157964e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f151bd5b45f77e56f385ad80cf364f11537ccc122db15074f0459201bfc52826",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-12-27T11:28:46Z",
    "title_canon_sha256": "1c015fb0adeb718e5f5991f1ccee17208ddd214b675f46401c8a0f8dce1d4ceb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.13921",
    "kind": "arxiv",
    "version": 2
  }
}