Pith Number

pith:ENSXWRCP

pith:2025:ENSXWRCPTSLDPMET4J2TGUZMNX

not attested not anchored not stored refs pending

HOMC: A MATLAB Package for Higher Order Markov Chains

Jianhong Xu

arxiv:2510.02664 v1 · 2025-10-03 · stat.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ENSXWRCPTSLDPMET4J2TGUZMNX}

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

2 papers in Pith

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors

Mean First Passage Times and Fundamental Tensors of Higher Order Markov Chains

Receipt and verification

First computed	2026-07-29T01:25:29.497032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23657b444f9c9637b093e27533532c6dd9a144acff2d7bdccf6734220b26df92

Aliases

arxiv: 2510.02664 · arxiv_version: 2510.02664v1 · doi: 10.48550/arxiv.2510.02664 · pith_short_12: ENSXWRCPTSLD · pith_short_16: ENSXWRCPTSLDPMET · pith_short_8: ENSXWRCP

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/ENSXWRCPTSLDPMET4J2TGUZMNX \
  | 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: 23657b444f9c9637b093e27533532c6dd9a144acff2d7bdccf6734220b26df92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "618944365a67f044e2cc283c523c3049041523bc7ed04b9a79cd91325260fcce",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2025-10-03T01:46:22Z",
    "title_canon_sha256": "98cd536d0aa737b8308a3fdd3a3945f607fadc6f6600338d261308c011ecb057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.02664",
    "kind": "arxiv",
    "version": 1
  }
}