Pith Number

pith:DKUOZZYZ

pith:2014:DKUOZZYZKNOBIG4DENHOJVHU5B

not attested not anchored not stored refs pending

Stochastic monotonicity and continuity properties of functions defined on Crump-Mode-Jagers branching processes, with application to vaccination in epidemic modelling

Frank Ball, Maroussia Slavtchova-Bojkova, Miguel Gonz\'alez, Rodrigo Mart\'inez

arxiv:1410.6020 v1 · 2014-10-22 · math.ST · q-bio.PE · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKUOZZYZKNOBIG4DENHOJVHU5B}

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	2026-05-18T01:09:37.315292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aa8ece719535c141b83234ee4d4f4e84f4f08f49e63c94c4e78f110b9307a7e

Aliases

arxiv: 1410.6020 · arxiv_version: 1410.6020v1 · doi: 10.48550/arxiv.1410.6020 · pith_short_12: DKUOZZYZKNOB · pith_short_16: DKUOZZYZKNOBIG4D · pith_short_8: DKUOZZYZ

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/DKUOZZYZKNOBIG4DENHOJVHU5B \
  | 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: 1aa8ece719535c141b83234ee4d4f4e84f4f08f49e63c94c4e78f110b9307a7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c168f80e24e72ac04a3939091d101e0bbc3e862a52c3079e284a6741a7e9dd4",
    "cross_cats_sorted": [
      "q-bio.PE",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-10-22T12:32:50Z",
    "title_canon_sha256": "b1af66689a656f43353635abe9a1de0689882f5bd858d9f0e0f60fc982d9c2ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6020",
    "kind": "arxiv",
    "version": 1
  }
}