Pith Number

pith:VOD4ZYJ4

pith:2016:VOD4ZYJ4UNDSVAORKAQSFWPRZG

not attested not anchored not stored refs pending

Stochastic coagulation-fragmentation processes with a finite number of particles and applications

David Holcman, Nathanael Hoze

arxiv:1611.06493 v1 · 2016-11-20 · math.PR · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOD4ZYJ4UNDSVAORKAQSFWPRZG}

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	2026-05-18T00:57:36.659426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab87cce13ca3472a81d1502122d9f1c9a5e8a8fa3f9a2f2a0edf6b5c641c17d8

Aliases

arxiv: 1611.06493 · arxiv_version: 1611.06493v1 · doi: 10.48550/arxiv.1611.06493 · pith_short_12: VOD4ZYJ4UNDS · pith_short_16: VOD4ZYJ4UNDSVAOR · pith_short_8: VOD4ZYJ4

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/VOD4ZYJ4UNDSVAORKAQSFWPRZG \
  | 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: ab87cce13ca3472a81d1502122d9f1c9a5e8a8fa3f9a2f2a0edf6b5c641c17d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7dcafad2abfab584b4efe063872689bfe85c7016b05e92ce02d3ed4e24ecb7f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-20T10:18:40Z",
    "title_canon_sha256": "2d665ddc88b8c52c8538c11411e8b74453360b142e2f1aace5047db4cf25fd21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06493",
    "kind": "arxiv",
    "version": 1
  }
}