Pith Number

pith:ZIWRLUYD

pith:2026:ZIWRLUYDLY7YIFPRBT2XAZNKTO

not attested not anchored not stored refs pending

A Three-State Markov Process as a Pedagogical Example of the Continuous-Time Approximation

Koichi Nakagawa

arxiv:2601.12435 v2 · 2026-01-18 · 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{ZIWRLUYDLY7YIFPRBT2XAZNKTO}

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

Map-Dependent Quantum Characteristic Functions and CP-Divisibility in Non-Markovian Quantum Dynamics

Receipt and verification

First computed	2026-06-10T01:09:52.865013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca2d15d3035e3f8415f10cf57065aa9b84a5769fcbe5289df63078ab300d2cd6

Aliases

arxiv: 2601.12435 · arxiv_version: 2601.12435v2 · doi: 10.48550/arxiv.2601.12435 · pith_short_12: ZIWRLUYDLY7Y · pith_short_16: ZIWRLUYDLY7YIFPR · pith_short_8: ZIWRLUYD

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/ZIWRLUYDLY7YIFPRBT2XAZNKTO \
  | 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: ca2d15d3035e3f8415f10cf57065aa9b84a5769fcbe5289df63078ab300d2cd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ce71ece5d742a247baedc0e28b07019b3486c10bcdc777a8f2c45f6e1347f33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-01-18T14:44:42Z",
    "title_canon_sha256": "e8bc2fd3f671c5db223751eb5d516cd8c2031ac06b74b65bf6e8dfda1169ffa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.12435",
    "kind": "arxiv",
    "version": 2
  }
}