Pith Number

pith:BDFHJMES

pith:2014:BDFHJMESWLKXVKQWBDQZUKOF5I

not attested not anchored not stored refs pending

Clapeyron equations and fitting formula of the coexistence curve in the extended phase space of charged AdS black holes

Shao-Wen Wei, Yu-Xiao Liu

arxiv:1411.5749 v3 · 2014-11-21 · 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{BDFHJMESWLKXVKQWBDQZUKOF5I}

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

2 papers in Pith

On Thermodynamics of Charged Black Holes, Swampland, and Dark Matter

Black hole chemistry: thermodynamics with Lambda

Receipt and verification

First computed	2026-05-18T02:23:26.384745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08ca74b092b2d57aaa1608e19a29c5ea2ebe0179b9086d46fbbad1557f847d86

Aliases

arxiv: 1411.5749 · arxiv_version: 1411.5749v3 · doi: 10.48550/arxiv.1411.5749 · pith_short_12: BDFHJMESWLKX · pith_short_16: BDFHJMESWLKXVKQW · pith_short_8: BDFHJMES

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/BDFHJMESWLKXVKQWBDQZUKOF5I \
  | 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: 08ca74b092b2d57aaa1608e19a29c5ea2ebe0179b9086d46fbbad1557f847d86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b60f39e6ab387e9dc08f9417d95be77621c8f1c6d2a79d02ea2bb6cd5577941",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-11-21T02:54:41Z",
    "title_canon_sha256": "3c53d5e0983d3039ee32d0800b49c99f3958a6cc777365971f5bae2f39189a6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5749",
    "kind": "arxiv",
    "version": 3
  }
}