Pith Number

pith:GSJU4LAL

pith:2019:GSJU4LALRZDIXUJMKDRDG3X4JN

not attested not anchored not stored refs pending

On the Determinant and its Derivatives of the Rank-one Corrected Generator of a Markov Chain on a Graph

Jerzy A Filar, Michael Haythorpe, Walter Murray

arxiv:1902.10348 v1 · 2019-02-27 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GSJU4LALRZDIXUJMKDRDG3X4JN}

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	2026-05-17T23:52:31.113634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34934e2c0b8e468bd12c50e2336efc4b746b435da756208d07cfa28393aa8dd9

Aliases

arxiv: 1902.10348 · arxiv_version: 1902.10348v1 · doi: 10.48550/arxiv.1902.10348 · pith_short_12: GSJU4LALRZDI · pith_short_16: GSJU4LALRZDIXUJM · pith_short_8: GSJU4LAL

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/GSJU4LALRZDIXUJMKDRDG3X4JN \
  | 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: 34934e2c0b8e468bd12c50e2336efc4b746b435da756208d07cfa28393aa8dd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d363bdf1c6a948215952d85156e7b1e6021b9829b1e3f3b71a000db40070035",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-02-27T06:15:00Z",
    "title_canon_sha256": "fd03e72c72d0f13c8f7828b3dfb5a42d130ba781ad342a784c6c790bde6b2753"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.10348",
    "kind": "arxiv",
    "version": 1
  }
}