pith. sign in
Pith Number

pith:F5XPQXBU

pith:2011:F5XPQXBUB6KYAOLHA5AS6FMPLX
not attested not anchored not stored refs pending

Hierarchy of space-time structures, Boltzmann equation, and functional mechanics

A. S. Trushechkin

arxiv:1102.5556 v1 · 2011-02-27 · math-ph · cond-mat.stat-mech · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{F5XPQXBUB6KYAOLHA5AS6FMPLX}

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 2026-05-18T04:27:35.432613Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2f6ef85c340f9580396707412f158f5dedb9adbf1d03219c35e2b863823a5b78

Aliases

arxiv: 1102.5556 · arxiv_version: 1102.5556v1 · doi: 10.48550/arxiv.1102.5556 · pith_short_12: F5XPQXBUB6KY · pith_short_16: F5XPQXBUB6KYAOLH · pith_short_8: F5XPQXBU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/F5XPQXBUB6KYAOLHA5AS6FMPLX \
  | 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: 2f6ef85c340f9580396707412f158f5dedb9adbf1d03219c35e2b863823a5b78
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6feb7bb6243f2caf7d1a74442befdcf223b09f811830e363523a78a9e29ca432",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-27T22:28:07Z",
    "title_canon_sha256": "c91e1838952993d9016067925f863ae37fb6b50acc30dba68ab1001f788a738a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5556",
    "kind": "arxiv",
    "version": 1
  }
}