Pith Number

pith:AVTL4CWR

pith:2023:AVTL4CWREPGWED3EWSS2EKDZBP

not attested not anchored not stored refs pending

R\'enyi Topology of Charged-flat Black Hole: Hawking-Page and Van-der-Waals Phase Transitions

F. Barzi, H. El Moumni, K. Masmar

arxiv:2309.14069 v1 · 2023-09-25 · 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{AVTL4CWREPGWED3EWSS2EKDZBP}

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

Hawking--Page Universality, Thermodynamic Dipoles and Categorical Defects

Topology of black hole thermodynamics: A brief review

Receipt and verification

First computed	2026-07-05T08:11:20.583061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0566be0ad123cd620f64b4a5a228790bdb9e8a7b3e52f538fdd86164647de433

Aliases

arxiv: 2309.14069 · arxiv_version: 2309.14069v1 · doi: 10.48550/arxiv.2309.14069 · pith_short_12: AVTL4CWREPGW · pith_short_16: AVTL4CWREPGWED3E · pith_short_8: AVTL4CWR

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/AVTL4CWREPGWED3EWSS2EKDZBP \
  | 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: 0566be0ad123cd620f64b4a5a228790bdb9e8a7b3e52f538fdd86164647de433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8203686ebd3cdd2a03e799d262bb13abd49b276bada4fc21193dbe3f4856432",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-09-25T12:04:03Z",
    "title_canon_sha256": "709d9e506964b33350d27604aa57705c4c0845cf04fa17bed103d3cc75915f8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.14069",
    "kind": "arxiv",
    "version": 1
  }
}