Pith Number

pith:TPNQEBYB

pith:2019:TPNQEBYBISGWL4QCKCDAT6YBCZ

not attested not anchored not stored refs pending

The Hawking-Page phase transitions in the extended phase space in the Gauss-Bonnet gravity

Bing-Yu Su, Nan Li, Yuan-Yuan Wang

arxiv:1905.07155 v2 · 2019-05-17 · 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{TPNQEBYBISGWL4QCKCDAT6YBCZ}

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	2026-07-05T00:56:25.963561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bdb020701448d65f202508609fb0116669638aa1f93d35a1363cefab853e410

Aliases

arxiv: 1905.07155 · arxiv_version: 1905.07155v2 · doi: 10.48550/arxiv.1905.07155 · pith_short_12: TPNQEBYBISGW · pith_short_16: TPNQEBYBISGWL4QC · pith_short_8: TPNQEBYB

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/TPNQEBYBISGWL4QCKCDAT6YBCZ \
  | 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: 9bdb020701448d65f202508609fb0116669638aa1f93d35a1363cefab853e410

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03181c0035a18eadb34917dc15866470d8fa510804d58cbcd9cf4c89ae32dc1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-05-17T08:00:34Z",
    "title_canon_sha256": "6341cb1a0171d32aca961e0d625c2c7c96a2cf11a743860b5e61ca7b06a2fb48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.07155",
    "kind": "arxiv",
    "version": 2
  }
}