Pith Number

pith:IX4IPTYS

pith:2015:IX4IPTYSAE3TJ7IDFIQXYL6ADC

not attested not anchored not stored refs pending

The intrinsic curvature of thermodynamic potentials for black holes with critical points

Brian P. Dolan

arxiv:1504.02951 v1 · 2015-04-12 · 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{IX4IPTYSAE3TJ7IDFIQXYL6ADC}

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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

Black hole chemistry: thermodynamics with Lambda

Receipt and verification

First computed	2026-05-18T01:35:10.543261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45f887cf12013734fd032a217c2fc018ae111cdb80daeffa69776e69bcac2cec

Aliases

arxiv: 1504.02951 · arxiv_version: 1504.02951v1 · doi: 10.48550/arxiv.1504.02951 · pith_short_12: IX4IPTYSAE3T · pith_short_16: IX4IPTYSAE3TJ7ID · pith_short_8: IX4IPTYS

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/IX4IPTYSAE3TJ7IDFIQXYL6ADC \
  | 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: 45f887cf12013734fd032a217c2fc018ae111cdb80daeffa69776e69bcac2cec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a935e16c6b6ce4c20a6c4e53b432b4ff3e3cb32bec9c483a7aa249f1c44de838",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-04-12T10:11:09Z",
    "title_canon_sha256": "9dea14c27e716afb5e8dc93e31abf2f9214d5fdb122557228f19529ecd284679"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02951",
    "kind": "arxiv",
    "version": 1
  }
}