Pith Number

pith:SPC4V5QK

pith:2017:SPC4V5QKMJCIFFMKTBQ7FY27JA

not attested not anchored not stored refs pending

Thermodynamic phase transition of a black hole in rainbow gravity

Shu-Zheng Yang, Zhong-Wen Feng

arxiv:1708.06627 v1 · 2017-08-20 · 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{SPC4V5QKMJCIFFMKTBQ7FY27JA}

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

Rainbow McVittie Horizons in an Expanding Universe

Receipt and verification

First computed	2026-07-05T01:15:04.446226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93c5caf60a624482958a9861f2e35f483343dfdbc8f899648f027b73e53c1425

Aliases

arxiv: 1708.06627 · arxiv_version: 1708.06627v1 · doi: 10.48550/arxiv.1708.06627 · pith_short_12: SPC4V5QKMJCI · pith_short_16: SPC4V5QKMJCIFFMK · pith_short_8: SPC4V5QK

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/SPC4V5QKMJCIFFMKTBQ7FY27JA \
  | 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: 93c5caf60a624482958a9861f2e35f483343dfdbc8f899648f027b73e53c1425

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28dc49548760ecf916dde7803ea313cefe9e851cc48abcc3f4c262753f572815",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-08-20T01:17:00Z",
    "title_canon_sha256": "9269e541b25bf2d3425f94cbde3df0eb7903de52ccb84873f258fe74c5d0ed2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06627",
    "kind": "arxiv",
    "version": 1
  }
}