Pith Number

pith:KA6EDYCH

pith:2025:KA6EDYCHMBYBE2AF2AVGJWQCYG

not attested not anchored not stored refs pending

Momentum distribution and correlation function of free particles in the Tsallis statistics using conventional expectation value and equilibrium temperature

Masamichi Ishihara

arxiv:2508.01609 v2 · 2025-08-03 · 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{KA6EDYCHMBYBE2AF2AVGJWQCYG}

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	2026-05-18T02:45:13.242531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

503c41e0476070126805d02a64da02c19b17845e530474b79856f0fba2063caf

Aliases

arxiv: 2508.01609 · arxiv_version: 2508.01609v2 · doi: 10.48550/arxiv.2508.01609 · pith_short_12: KA6EDYCHMBYB · pith_short_16: KA6EDYCHMBYBE2AF · pith_short_8: KA6EDYCH

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/KA6EDYCHMBYBE2AF2AVGJWQCYG \
  | 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: 503c41e0476070126805d02a64da02c19b17845e530474b79856f0fba2063caf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "854a613be49017aaed99c51e523e98371a52af5439c4e4a637670f86a738ad3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2025-08-03T06:07:26Z",
    "title_canon_sha256": "63f355f11599d6f8a51ed7b21039be128049456e369fea1fc13ef0a77883ef87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.01609",
    "kind": "arxiv",
    "version": 2
  }
}