Pith Number

pith:7EBAIGEM

pith:2026:7EBAIGEM4R5MHFGKRYH5UZG72T

not attested not anchored not stored refs pending

Hyperstatistical thermodynamics of the one-dimensional Klein-Gordon and Dirac oscillators: a closed-form q-generalized Boltzmann factor and a quantitative comparison with Beck's superstatistics

Abdelmalek Boumali

arxiv:2606.12454 v1 · 2026-06-05 · physics.gen-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7EBAIGEM4R5MHFGKRYH5UZG72T}

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	2026-06-12T00:07:51.149075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f90204188ce47ac394ca8e0fda64dfd4e35e60ef6dc21a2c81af7f5b321926c2

Aliases

arxiv: 2606.12454 · arxiv_version: 2606.12454v1 · doi: 10.48550/arxiv.2606.12454 · pith_short_12: 7EBAIGEM4R5M · pith_short_16: 7EBAIGEM4R5MHFGK · pith_short_8: 7EBAIGEM

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/7EBAIGEM4R5MHFGKRYH5UZG72T \
  | 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: f90204188ce47ac394ca8e0fda64dfd4e35e60ef6dc21a2c81af7f5b321926c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31acc2c0d70b88154ebd3f8356c865f0b522354ce209049c56a4bfe863052544",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2026-06-05T15:54:15Z",
    "title_canon_sha256": "8f8bfe1d99f040292d8c02b2a65886eb5082e2529b7b30adb41d7e498f0be687"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12454",
    "kind": "arxiv",
    "version": 1
  }
}