Pith Number

pith:XZ3HILX2

pith:2015:XZ3HILX2D3JDIZLCKYCIILNINS

not attested not anchored not stored refs pending

Self-organized criticality in a discrete model for Smoluchowski's equation with limited aggregations

Mathieu Merle, Raoul Normand

arxiv:1509.00934 v1 · 2015-09-03 · 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{XZ3HILX2D3JDIZLCKYCIILNINS}

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	2026-05-18T01:34:04.749391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be76742efa1ed23465625604842da86ca976e0efaa064d4fa74c707fa182e1ee

Aliases

arxiv: 1509.00934 · arxiv_version: 1509.00934v1 · doi: 10.48550/arxiv.1509.00934 · pith_short_12: XZ3HILX2D3JD · pith_short_16: XZ3HILX2D3JDIZLC · pith_short_8: XZ3HILX2

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/XZ3HILX2D3JDIZLCKYCIILNINS \
  | 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: be76742efa1ed23465625604842da86ca976e0efaa064d4fa74c707fa182e1ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e43f1e5471d580f34075a2d8e0961944f0dd3ac9be4e1ef1eb2c13a88d7be33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-03T03:34:13Z",
    "title_canon_sha256": "0a3d6bf8763cb4152560efb1760fca737a29cb822936e403764d5155b1a84977"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00934",
    "kind": "arxiv",
    "version": 1
  }
}