Pith Number

pith:YOCILHHV

pith:2011:YOCILHHVS5RW3BERWRIMJJU5SW

not attested not anchored not stored refs pending

The Derivation of Markov Chain Properties using Generalized Matrix Inverses

Jeffrey J. Hunter

arxiv:1112.3404 v1 · 2011-12-15 · 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{YOCILHHVS5RW3BERWRIMJJU5SW}

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	2026-05-18T03:46:59.059560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c384859cf597636d8491b450c4a69d95ba517aac095bfe39f1d91a5cb3628631

Aliases

arxiv: 1112.3404 · arxiv_version: 1112.3404v1 · doi: 10.48550/arxiv.1112.3404 · pith_short_12: YOCILHHVS5RW · pith_short_16: YOCILHHVS5RW3BER · pith_short_8: YOCILHHV

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/YOCILHHVS5RW3BERWRIMJJU5SW \
  | 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: c384859cf597636d8491b450c4a69d95ba517aac095bfe39f1d91a5cb3628631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dfa1ea0fb65b2993c01300038346875ac6af681f349c6b78b49d8d056d6c4a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-15T01:20:17Z",
    "title_canon_sha256": "1146b6e3380d97c4641e5e19d592b7b384929903d442ac296249bcec540961ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3404",
    "kind": "arxiv",
    "version": 1
  }
}