Pith Number

pith:KITV3LT3

pith:2019:KITV3LT3XPGLET6XJ3WHMNHJ74

not attested not anchored not stored refs pending

The spectral matrices associated with the stochastic Darboux transformations of random walks on the integers

Claudia Juarez, Manuel D. de la Iglesia

arxiv:1907.05942 v1 · 2019-07-12 · math.CA · 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{KITV3LT3XPGLET6XJ3WHMNHJ74}

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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	2026-05-17T23:40:42.943155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52275dae7bbbccb24fd74eec7634e9ff159a1b83fe947db3345089b070c4cce8

Aliases

arxiv: 1907.05942 · arxiv_version: 1907.05942v1 · doi: 10.48550/arxiv.1907.05942 · pith_short_12: KITV3LT3XPGL · pith_short_16: KITV3LT3XPGLET6X · pith_short_8: KITV3LT3

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/KITV3LT3XPGLET6XJ3WHMNHJ74 \
  | 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: 52275dae7bbbccb24fd74eec7634e9ff159a1b83fe947db3345089b070c4cce8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b48f046a0782dd000e649cd34d256b89f4b0598202e1d33f58337dda875bd8a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-12T20:29:49Z",
    "title_canon_sha256": "0971e6154447409f085b7e7ce841f87fb63cf3f54b7132bfdc569c464c517fb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05942",
    "kind": "arxiv",
    "version": 1
  }
}