Pith Number

pith:42UMPK6D

pith:2013:42UMPK6D7PW3RGF4BE5ZYZ4HSA

not attested not anchored not stored refs pending

The description of phase transition in a black hole with conformal anomaly in the Ehrenfest's scheme

Hongbo Cheng, Jingyun Man

arxiv:1304.5685 v3 · 2013-04-21 · 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{42UMPK6D7PW3RGF4BE5ZYZ4HSA}

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	2026-05-18T01:37:33.275781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6a8c7abc3fbedb898bc093b9c678790137dc0878290a4ebb0f840d6b5aad9a5

Aliases

arxiv: 1304.5685 · arxiv_version: 1304.5685v3 · doi: 10.48550/arxiv.1304.5685 · pith_short_12: 42UMPK6D7PW3 · pith_short_16: 42UMPK6D7PW3RGF4 · pith_short_8: 42UMPK6D

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/42UMPK6D7PW3RGF4BE5ZYZ4HSA \
  | 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: e6a8c7abc3fbedb898bc093b9c678790137dc0878290a4ebb0f840d6b5aad9a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7ee6e714e4ca0092c82f3aca9398dc3fc0d0f4cae43fee7eef9247f95ec2f55",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-04-21T03:31:41Z",
    "title_canon_sha256": "6fa7d3ad5bd32939dcb750a03d3c3f28abb3d79b9fec3784e326c5ab8e1d3706"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5685",
    "kind": "arxiv",
    "version": 3
  }
}