Pith Number

pith:P7FIX2EU

pith:2013:P7FIX2EULGNEJ6VNOXGY3FGWFN

not attested not anchored not stored refs pending

The Vector Volume and Black Holes

Kayll Lake, William Ballik

arxiv:1310.1935 v2 · 2013-10-07 · 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{P7FIX2EULGNEJ6VNOXGY3FGWFN}

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

3 papers in Pith

Holographic pressure and volume for black holes

Quantum-statistical constraints on Kerr-anti-de Sitter thermodynamics

Black hole chemistry: thermodynamics with Lambda

Receipt and verification

First computed	2026-05-18T03:05:37.459108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fca8be894599a44faad75cd8d94d62b6c8924918027cdd3c9cd9086269a48b1

Aliases

arxiv: 1310.1935 · arxiv_version: 1310.1935v2 · doi: 10.48550/arxiv.1310.1935 · pith_short_12: P7FIX2EULGNE · pith_short_16: P7FIX2EULGNEJ6VN · pith_short_8: P7FIX2EU

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/P7FIX2EULGNEJ6VNOXGY3FGWFN \
  | 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: 7fca8be894599a44faad75cd8d94d62b6c8924918027cdd3c9cd9086269a48b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf728b1a8a4dab023aeaaa581f2c4627ac06695b91d4239fea47ab9018e7fbca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-10-07T20:06:49Z",
    "title_canon_sha256": "9727357b98ff36a79af034e8f2365e82ac2cc8a29941f655a2bab0d2e2909b72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1935",
    "kind": "arxiv",
    "version": 2
  }
}