Pith Number

pith:CGRQ67IS

pith:2026:CGRQ67ISDSFPHEWBOPEXSAYYZ6

not attested not anchored not stored refs pending

Thermodynamic and statistical properties of a multifractional modified dispersion relation via the grand-canonical ensemble

A. A. Ara\'ujo Filho

arxiv:2605.16424 v1 · 2026-05-14 · cond-mat.stat-mech · cond-mat.quant-gas · 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{CGRQ67ISDSFPHEWBOPEXSAYYZ6}

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	2026-05-20T00:02:21.558427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11a30f7d121c8af392c173c9790318cf85b2852c4ff1c9818b9d5089ad25f563

Aliases

arxiv: 2605.16424 · arxiv_version: 2605.16424v1 · doi: 10.48550/arxiv.2605.16424 · pith_short_12: CGRQ67ISDSFP · pith_short_16: CGRQ67ISDSFPHEWB · pith_short_8: CGRQ67IS

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/CGRQ67ISDSFPHEWBOPEXSAYYZ6 \
  | 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: 11a30f7d121c8af392c173c9790318cf85b2852c4ff1c9818b9d5089ad25f563

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "120f4f2124269b5cb88d52e8aedd0670dfeff9e1fbfcf9f71a9b3698dfff53ad",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-14T14:58:18Z",
    "title_canon_sha256": "4d7f78081c17648c435ebdf1a425d6769ff9c9e3f049d861faf88d7950f2f680"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16424",
    "kind": "arxiv",
    "version": 1
  }
}