Pith Number

pith:OZ7ISDWL

pith:2019:OZ7ISDWL5K3LZ44PQ7276FOPWA

not attested not anchored not stored refs pending

On variation of eigenvalues of birth and death matrices and random walk matrices

I. Zaballa, K. Castillo

arxiv:1906.08644 v1 · 2019-06-19 · 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{OZ7ISDWL5K3LZ44PQ7276FOPWA}

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	2026-05-17T23:42:49.997819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

767e890ecbeab6bcf38f87f5ff15cfb017ee7a3f9b9059e94bcc4ad573a54231

Aliases

arxiv: 1906.08644 · arxiv_version: 1906.08644v1 · doi: 10.48550/arxiv.1906.08644 · pith_short_12: OZ7ISDWL5K3L · pith_short_16: OZ7ISDWL5K3LZ44P · pith_short_8: OZ7ISDWL

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/OZ7ISDWL5K3LZ44PQ7276FOPWA \
  | 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: 767e890ecbeab6bcf38f87f5ff15cfb017ee7a3f9b9059e94bcc4ad573a54231

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8849c93157afd45e02437529c97fb92fef60eaecc797f2bbfb4387bc6c875e5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-06-19T09:36:54Z",
    "title_canon_sha256": "4a0d2074eeda0cf5bf5b4ad8dfcc1e65e92044bea3ea4e288e813472bb8c8f99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08644",
    "kind": "arxiv",
    "version": 1
  }
}