Pith Number

pith:GZ5P2C7O

pith:2018:GZ5P2C7OZ7RRVZU7ZFZRIKRUYZ

not attested not anchored not stored refs pending

Mass-conserving solutions to coagulation-fragmentation equations with non-integrable fragment distribution function

Philippe Lauren\c{c}ot (IMT)

arxiv:1804.08861 v1 · 2018-04-24 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZ5P2C7OZ7RRVZU7ZFZRIKRUYZ}

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	2026-05-18T00:17:37.062497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

367afd0beecfe31ae69fc973142a34c64bf0ffa2befc559bb17c2b4b618520ab

Aliases

arxiv: 1804.08861 · arxiv_version: 1804.08861v1 · doi: 10.48550/arxiv.1804.08861 · pith_short_12: GZ5P2C7OZ7RR · pith_short_16: GZ5P2C7OZ7RRVZU7 · pith_short_8: GZ5P2C7O

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/GZ5P2C7OZ7RRVZU7ZFZRIKRUYZ \
  | 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: 367afd0beecfe31ae69fc973142a34c64bf0ffa2befc559bb17c2b4b618520ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34a2682e87ebfd8731f083bd4d1c3cc38f6defc339d910b83b2e4d444e12d0d5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-24T06:53:36Z",
    "title_canon_sha256": "6c577487b8cc833e6b928d9668ad53a2f86864efffa59f12cebfacf91d5c45ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08861",
    "kind": "arxiv",
    "version": 1
  }
}