Pith Number

pith:Y5SJYHNC

pith:2013:Y5SJYHNCXGMHJ57SMIRCS7A6MY

not attested not anchored not stored refs pending

On a bilateral birth-death process with alternating rates

Antonella Iuliano, Antonio Di Crescenzo, Barbara Martinucci

arxiv:1310.5849 v1 · 2013-10-22 · 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{Y5SJYHNCXGMHJ57SMIRCS7A6MY}

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	2026-05-18T03:09:24.430874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7649c1da2b99874f7f26222297c1e6605e4f1b420550983e9a7c6608aa77140

Aliases

arxiv: 1310.5849 · arxiv_version: 1310.5849v1 · doi: 10.48550/arxiv.1310.5849 · pith_short_12: Y5SJYHNCXGMH · pith_short_16: Y5SJYHNCXGMHJ57S · pith_short_8: Y5SJYHNC

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/Y5SJYHNCXGMHJ57SMIRCS7A6MY \
  | 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: c7649c1da2b99874f7f26222297c1e6605e4f1b420550983e9a7c6608aa77140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e37c18ba611cbb1a14b27ff3b1a83f94f0fd2e7699262538112ed89d0ccc3200",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-22T09:16:29Z",
    "title_canon_sha256": "03a4ea0a22efabd0ed0940c6627934af47ea85f8908fc95c431891285f9f6636"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5849",
    "kind": "arxiv",
    "version": 1
  }
}