Pith Number

pith:HH5B3WHS

pith:2025:HH5B3WHSD45YCVBSSPH3YYRLPS

not attested not anchored not stored refs pending

Long-range systems, (non)extensivity, and the rescaling of energies

Michael Kastner

arxiv:2506.22296 v1 · 2025-06-27 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HH5B3WHSD45YCVBSSPH3YYRLPS}

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.

Cited by

1 paper in Pith

The cell fluid model with Curie-Weiss interactions: special cases and analytical results

Receipt and verification

First computed	2026-07-05T11:28:24.701291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39fa1dd8f21f3b81543293cfbc622b7caddad0091581b3ac7ae959ea25eed0b0

Aliases

arxiv: 2506.22296 · arxiv_version: 2506.22296v1 · doi: 10.48550/arxiv.2506.22296 · pith_short_12: HH5B3WHSD45Y · pith_short_16: HH5B3WHSD45YCVBS · pith_short_8: HH5B3WHS

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/HH5B3WHSD45YCVBSSPH3YYRLPS \
  | 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: 39fa1dd8f21f3b81543293cfbc622b7caddad0091581b3ac7ae959ea25eed0b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d99247de259619f6910f0cfd3669f1cedfd2d43a434121223274fcaf28cde57",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2025-06-27T15:07:35Z",
    "title_canon_sha256": "626b797c4755125268e7405da806c28374f6b36f7313700eda943c3b189359f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22296",
    "kind": "arxiv",
    "version": 1
  }
}