Pith Number

pith:SFR4RSJA

pith:2023:SFR4RSJAXPIKY6LCY6YUVMN5I7

not attested not anchored not stored refs pending

On some phase equilibrium features of charged black holes in flat spacetime via R\'enyi statistics

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

arxiv:2304.04945 v1 · 2023-04-11 · 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{SFR4RSJAXPIKY6LCY6YUVMN5I7}

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.

Receipt and verification

First computed	2026-07-05T07:01:00.074715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9163c8c920bbd0ac7962c7b14ab1bd47c3b5063632c6acd718b06aeefcbd4a10

Aliases

arxiv: 2304.04945 · arxiv_version: 2304.04945v1 · doi: 10.48550/arxiv.2304.04945 · pith_short_12: SFR4RSJAXPIK · pith_short_16: SFR4RSJAXPIKY6LC · pith_short_8: SFR4RSJA

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/SFR4RSJAXPIKY6LCY6YUVMN5I7 \
  | 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: 9163c8c920bbd0ac7962c7b14ab1bd47c3b5063632c6acd718b06aeefcbd4a10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a11041efe83e994b458d37976e95fbd651b7e6fdcd637f6e4287f01174972ad",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-04-11T03:11:05Z",
    "title_canon_sha256": "3135a470262235d7b6e2c193fe8fdb4b945b172c53a1b9660cc0e69851848177"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.04945",
    "kind": "arxiv",
    "version": 1
  }
}