Pith Number

pith:C37KKALJ

pith:2010:C37KKALJK3WRGXWQYY4MD2NFS3

not attested not anchored not stored refs pending

Brownian coagulation and a version of Smoluchowski's equation on the circle

In\'es Armend\'ariz

arxiv:1009.5747 v1 · 2010-09-28 · 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{C37KKALJK3WRGXWQYY4MD2NFS3}

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	2026-05-18T04:40:08.980433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16fea5016956ed135ed0c638c1e9a596e2779f30aceb0a04970ad169663c48e0

Aliases

arxiv: 1009.5747 · arxiv_version: 1009.5747v1 · doi: 10.48550/arxiv.1009.5747 · pith_short_12: C37KKALJK3WR · pith_short_16: C37KKALJK3WRGXWQ · pith_short_8: C37KKALJ

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/C37KKALJK3WRGXWQYY4MD2NFS3 \
  | 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: 16fea5016956ed135ed0c638c1e9a596e2779f30aceb0a04970ad169663c48e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c514089d39353c514edce3e2b67a0a136f17e1adefb17049e5dd551b25bac09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-28T06:46:04Z",
    "title_canon_sha256": "440b28c54a306ebf7115e10ccd93dd0f9f5ee5b675b7c9680bd877145af771b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5747",
    "kind": "arxiv",
    "version": 1
  }
}