Pith Number

pith:SINSLXLD

pith:2026:SINSLXLDM45JJXR6XXUG5JUL7R

not attested not anchored not stored refs pending

Extended Thermodynamics and Renyi Entropy Beyond Fixed Central Charge

Chatchai Promsiri, Ekapong Hirunsirisawat, Phuwadon Chunaksorn, Ratchaphat Nakarachinda

arxiv:2606.22849 v1 · 2026-06-22 · hep-th · 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{SINSLXLDM45JJXR6XXUG5JUL7R}

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	2026-06-23T03:14:01.400626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

921b25dd63673a94de3ebde86ea68bfc544575820b0bdeefa5459c4562b23c90

Aliases

arxiv: 2606.22849 · arxiv_version: 2606.22849v1 · doi: 10.48550/arxiv.2606.22849 · pith_short_12: SINSLXLDM45J · pith_short_16: SINSLXLDM45JJXR6 · pith_short_8: SINSLXLD

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/SINSLXLDM45JJXR6XXUG5JUL7R \
  | 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: 921b25dd63673a94de3ebde86ea68bfc544575820b0bdeefa5459c4562b23c90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "180323acf242d3ae74ad7faa173c11be1f31362fb7447bb0f02ca1e96d10c1c0",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-22T04:49:23Z",
    "title_canon_sha256": "22224d0d23e63dedc2fe6d57e139e5eddca76a9adadf61c4571b786224550737"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22849",
    "kind": "arxiv",
    "version": 1
  }
}