Pith Number

pith:GJGMKFE4

pith:2018:GJGMKFE4FXK2NTUJO4S4NFRQQT

not attested not anchored not stored refs pending

Thermodynamics and Phase Transitions of Nonlinear Electrodynamics Black Holes in an Extended Phase Space

Haitang Yang, Houwen Wu, Peng Wang

arxiv:1808.04506 v2 · 2018-08-14 · gr-qc · 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{GJGMKFE4FXK2NTUJO4S4NFRQQT}

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

Thermodynamics and Phase Transition of a Gauss-Bonnet Black Hole in a Cavity

Receipt and verification

First computed	2026-05-17T23:46:55.229065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

324cc5149c2dd5a6ce897725c6963084d4046177e11abe90bdddb8f43cf1514a

Aliases

arxiv: 1808.04506 · arxiv_version: 1808.04506v2 · doi: 10.48550/arxiv.1808.04506 · pith_short_12: GJGMKFE4FXK2 · pith_short_16: GJGMKFE4FXK2NTUJ · pith_short_8: GJGMKFE4

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/GJGMKFE4FXK2NTUJO4S4NFRQQT \
  | 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: 324cc5149c2dd5a6ce897725c6963084d4046177e11abe90bdddb8f43cf1514a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4397ecca7912f5d48d7401d4405ed3de588b00e5c91c799a34a576d9cd5368d0",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-08-14T02:11:27Z",
    "title_canon_sha256": "587fbc53035df3b937e1fbf74aca4ef67ccfdbd5c2978a51467a3c85d4b1e7ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04506",
    "kind": "arxiv",
    "version": 2
  }
}