Pith Number

pith:5UIEP5E7

pith:2026:5UIEP5E7K554QWCQHV6EXGGNIY

not attested not anchored not stored refs pending

Photon Gas Thermodynamics in Doubly Special Relativity at the Planck Scale

Guifeng Su, Qi Xiong, Xinyi Yang, Yi Zhang

arxiv:2607.25473 v1 · 2026-07-28 · hep-ph · 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{5UIEP5E7K554QWCQHV6EXGGNIY}

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	2026-07-29T01:25:17.022528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed1047f49f577bc858503d7c4b98cd46370a0671a51d212228736304aa49f447

Aliases

arxiv: 2607.25473 · arxiv_version: 2607.25473v1 · doi: 10.48550/arxiv.2607.25473 · pith_short_12: 5UIEP5E7K554 · pith_short_16: 5UIEP5E7K554QWCQ · pith_short_8: 5UIEP5E7

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/5UIEP5E7K554QWCQHV6EXGGNIY \
  | 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: ed1047f49f577bc858503d7c4b98cd46370a0671a51d212228736304aa49f447

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e15ec6d227a004347d3c7c1e93f3c6ebf210c6394eb918942b7261996af2da4c",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-07-28T09:05:43Z",
    "title_canon_sha256": "dbd6b321c0ef9424284e5231923014350213ce5e6039215e4cdc696df140967c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25473",
    "kind": "arxiv",
    "version": 1
  }
}