Pith Number

pith:36OK3XNH

pith:2010:36OK3XNHFZW4VQVXYVCZC6NIFC

not attested not anchored not stored refs pending

On The Phase Structure and Thermodynamic Geometry of R-Charged Black Holes

Anurag Sahay, Gautam Sengupta, Tapobrata Sarkar

arxiv:1009.2236 v3 · 2010-09-12 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{36OK3XNHFZW4VQVXYVCZC6NIFC}

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	2026-05-18T04:34:36.787901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df9caddda72e6dcac2b7c5459179a8288343633650840a89166e8a0ad4822d5b

Aliases

arxiv: 1009.2236 · arxiv_version: 1009.2236v3 · doi: 10.48550/arxiv.1009.2236 · pith_short_12: 36OK3XNHFZW4 · pith_short_16: 36OK3XNHFZW4VQVX · pith_short_8: 36OK3XNH

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/36OK3XNHFZW4VQVXYVCZC6NIFC \
  | 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: df9caddda72e6dcac2b7c5459179a8288343633650840a89166e8a0ad4822d5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23d4babca0e73fe9d7277cb0ab9e25850f1d82873e48a2492ae2af8a44180c56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-09-12T14:11:44Z",
    "title_canon_sha256": "c90640935d2bc80b51ad92b369a59f5a5edf0f0651f6430b874e3573efc92ab6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2236",
    "kind": "arxiv",
    "version": 3
  }
}