Pith Number

pith:KM42OXDH

pith:2010:KM42OXDH2D6VQ2HIW4L2U3A4R5

not attested not anchored not stored refs pending

Second Order Phase Transition and Thermodynamic Geometry in Kerr-AdS Black Hole

Rabin Banerjee, Saurav Samanta, Sujoy Kumar Modak

arxiv:1005.4832 v3 · 2010-05-26 · 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{KM42OXDH2D6VQ2HIW4L2U3A4R5}

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	2026-05-18T04:12:10.669514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5339a75c67d0fd5868e8b717aa6c1c8f5b3d82bac9bc760403a92756f35bb69f

Aliases

arxiv: 1005.4832 · arxiv_version: 1005.4832v3 · doi: 10.48550/arxiv.1005.4832 · pith_short_12: KM42OXDH2D6V · pith_short_16: KM42OXDH2D6VQ2HI · pith_short_8: KM42OXDH

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/KM42OXDH2D6VQ2HIW4L2U3A4R5 \
  | 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: 5339a75c67d0fd5868e8b717aa6c1c8f5b3d82bac9bc760403a92756f35bb69f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd959e040fd63c8e6190724462f9003189539574bc00464f28016af0dcf261c4",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-05-26T14:41:27Z",
    "title_canon_sha256": "3eb19f9cdd652a59d23fb60fbac2cd3d7df499669370744aec674258488cbb8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4832",
    "kind": "arxiv",
    "version": 3
  }
}