Pith Number

pith:YKPSZ3JI

pith:2016:YKPSZ3JIMECAT2NNPXHSVPGJF7

not attested not anchored not stored refs pending

A pathwise iterative approach to the extinction of branching processes with countably many types

Geoffrey Decrouez, Peter Braunsteins, Sophie Hautphenne

arxiv:1605.03069 v3 · 2016-05-10 · 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{YKPSZ3JIMECAT2NNPXHSVPGJF7}

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	2026-05-18T00:28:02.769907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c29f2ced28610409e9ad7dcf2abcc92fe6ad87fc199178afa7f4819f541fc0ba

Aliases

arxiv: 1605.03069 · arxiv_version: 1605.03069v3 · doi: 10.48550/arxiv.1605.03069 · pith_short_12: YKPSZ3JIMECA · pith_short_16: YKPSZ3JIMECAT2NN · pith_short_8: YKPSZ3JI

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/YKPSZ3JIMECAT2NNPXHSVPGJF7 \
  | 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: c29f2ced28610409e9ad7dcf2abcc92fe6ad87fc199178afa7f4819f541fc0ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b08c18458fa67bd3e58567d7225c84db64937f5236c4f85a69ebc43302e3b588",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-10T15:50:09Z",
    "title_canon_sha256": "62e1ea4a945ec5023dc8cb339d82d40843bb92a9be5a06f1ea59147dd2c25874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03069",
    "kind": "arxiv",
    "version": 3
  }
}