Pith Number

pith:U2W66UP2

pith:2018:U2W66UP2FFKBZ52VTKSMJTFIGG

not attested not anchored not stored refs pending

On the Strong Ratio Limit Property for Discrete-Time Birth-Death Processes

Erik A. van Doorn

arxiv:1801.00506 v2 · 2018-01-01 · 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{U2W66UP2FFKBZ52VTKSMJTFIGG}

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	2026-05-18T00:16:02.931304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6adef51fa29541cf7559aa4c4cca8318129354b628cfd93a2b169af3db72594

Aliases

arxiv: 1801.00506 · arxiv_version: 1801.00506v2 · doi: 10.48550/arxiv.1801.00506 · pith_short_12: U2W66UP2FFKB · pith_short_16: U2W66UP2FFKBZ52V · pith_short_8: U2W66UP2

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/U2W66UP2FFKBZ52VTKSMJTFIGG \
  | 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: a6adef51fa29541cf7559aa4c4cca8318129354b628cfd93a2b169af3db72594

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01a26d38dbaf274cb63d2438825a5cf2e259638fb3827773027d48513aeea662",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-01-01T20:20:34Z",
    "title_canon_sha256": "b7dca8f63bceb0f97b3eeda29336c41471c306d1696e72c05c929bb108be7221"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00506",
    "kind": "arxiv",
    "version": 2
  }
}