Pith Number

pith:5P6HQD7G

pith:2015:5P6HQD7G5KQHLRZ7TOZCEOO3WK

not attested not anchored not stored refs pending

Optimization of Markov process violates detailed balance condition

Kazutaka Takahashi, Masayuki Ohzeki

arxiv:1509.08212 v2 · 2015-09-28 · 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{5P6HQD7G5KQHLRZ7TOZCEOO3WK}

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	2026-05-18T01:20:16.766680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebfc780fe6eaa075c73f9bb22239dbb2b6e646dd6b1cec5134b1bcf56588d416

Aliases

arxiv: 1509.08212 · arxiv_version: 1509.08212v2 · doi: 10.48550/arxiv.1509.08212 · pith_short_12: 5P6HQD7G5KQH · pith_short_16: 5P6HQD7G5KQHLRZ7 · pith_short_8: 5P6HQD7G

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/5P6HQD7G5KQHLRZ7TOZCEOO3WK \
  | 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: ebfc780fe6eaa075c73f9bb22239dbb2b6e646dd6b1cec5134b1bcf56588d416

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8a29438d3772c6540ac998056f1e0bea06b2cc76cffe2169145e09109ca83f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-09-28T06:45:42Z",
    "title_canon_sha256": "79b954d3e77643ab5b6af2b8f5df24278657f466b9ed82d30a10071b1bcf3c1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08212",
    "kind": "arxiv",
    "version": 2
  }
}