Pith Number

pith:4PHOPN42

pith:2007:4PHOPN42QTACLPZKW2NDZJ32BZ

not attested not anchored not stored refs pending

Ricci Flat Black Holes and Hawking-Page Phase Transition in Gauss-Bonnet Gravity and Dilaton Gravity

Bin Wang, Rong-Gen Cai, Sang Pyo Kim

arxiv:0705.2469 v1 · 2007-05-17 · 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{4PHOPN42QTACLPZKW2NDZJ32BZ}

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

Phase Transition and Critical Phenomena of Charged Einstein-Maxwell-Scalar Black Holes

Receipt and verification

First computed	2026-07-04T15:21:11.887620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3cee7b79a84c025bf2ab69a3ca77a0e4c45dfbe0e9c889283a34af683184273

Aliases

arxiv: 0705.2469 · arxiv_version: 0705.2469v1 · doi: 10.48550/arxiv.0705.2469 · pith_short_12: 4PHOPN42QTAC · pith_short_16: 4PHOPN42QTACLPZK · pith_short_8: 4PHOPN42

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/4PHOPN42QTACLPZKW2NDZJ32BZ \
  | 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: e3cee7b79a84c025bf2ab69a3ca77a0e4c45dfbe0e9c889283a34af683184273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d715287a315e37722d0e63f9a56cfb3816b2d95a7d478f16c9d70294835e6a8",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-05-17T02:51:33Z",
    "title_canon_sha256": "8fb8b3fe195b0f0115bb0f98a9916b48f8a68d435adef092d3aafe2046d16b8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.2469",
    "kind": "arxiv",
    "version": 1
  }
}