Pith Number

pith:D3Q3IGVH

pith:2024:D3Q3IGVHWGEX7W52JW2MYNIEYD

not attested not anchored not stored refs pending

Observing Black Hole Phase Transitions in Extended Phase Space and Holographic Thermodynamics Approaches from Optical Features

Chatchai Promsiri, Ekapong Hirunsirisawat, Weerawit Horinouchi

arxiv:2409.01582 v1 · 2024-09-03 · 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{D3Q3IGVHWGEX7W52JW2MYNIEYD}

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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

3 papers in Pith

Extended Thermodynamics and Renyi Entropy Beyond Fixed Central Charge

Black Hole Thermodynamics via Tsallis Statistical Mechanics and Phase Transitions Probed by Optical Characteristics

Receipt and verification

First computed	2026-07-05T09:02:31.163306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ee1b41aa7b1897fdbba4db4cc3504c0dab95178c5c6256ebe8bac88d135fd54

Aliases

arxiv: 2409.01582 · arxiv_version: 2409.01582v1 · doi: 10.48550/arxiv.2409.01582 · pith_short_12: D3Q3IGVHWGEX · pith_short_16: D3Q3IGVHWGEX7W52 · pith_short_8: D3Q3IGVH

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/D3Q3IGVHWGEX7W52JW2MYNIEYD \
  | 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: 1ee1b41aa7b1897fdbba4db4cc3504c0dab95178c5c6256ebe8bac88d135fd54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8388966337c586af452599940056ad325a0ac445b99fac83abdbccb43d57194c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-09-03T03:36:54Z",
    "title_canon_sha256": "1b7400bb1d258fce8930ab03b20bd5b8764d601f21f3a0440421b1126623a830"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.01582",
    "kind": "arxiv",
    "version": 1
  }
}