Pith Number

pith:2P2CPOGQ

pith:2024:2P2CPOGQ2WUXXZJLWRJ2G5BBUI

not attested not anchored not stored refs pending

Gelation and localization in multicomponent coagulation with multiplicative kernel through branching processes

Camillo Schenone, Ivan Kryven, Jochem Hoogendijk

arxiv:2401.12844 v1 · 2024-01-23 · math-ph · math.MP · 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{2P2CPOGQ2WUXXZJLWRJ2G5BBUI}

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	2026-07-05T07:36:36.894020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3f427b8d0d5a97be52bb453a37421a2289a3ed4aac0cb38415bde52c265b1ab

Aliases

arxiv: 2401.12844 · arxiv_version: 2401.12844v1 · doi: 10.48550/arxiv.2401.12844 · pith_short_12: 2P2CPOGQ2WUX · pith_short_16: 2P2CPOGQ2WUXXZJL · pith_short_8: 2P2CPOGQ

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/2P2CPOGQ2WUXXZJLWRJ2G5BBUI \
  | 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: d3f427b8d0d5a97be52bb453a37421a2289a3ed4aac0cb38415bde52c265b1ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28ca86045ab669e632c2c5d59da8fe37201cfa15f580539bddb567c40d93ad55",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-01-23T15:26:28Z",
    "title_canon_sha256": "150b328d9ad24149459ec9a4e60f89cdb91eea463f0ee0b681e6c0c64dedae5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.12844",
    "kind": "arxiv",
    "version": 1
  }
}