Pith Number

pith:7KJVPCSL

pith:2013:7KJVPCSLG5AJCMWH2E5HHPJW6V

not attested not anchored not stored refs pending

Markovian loop clusters on the complete graph and coagulation equations

Sophie Lemaire

arxiv:1308.4100 v3 · 2013-08-19 · 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{7KJVPCSLG5AJCMWH2E5HHPJW6V}

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	2026-05-18T02:49:38.964891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa93578a4b37409132c7d13a73bd36f560f05b994fc86b4fb28d3edfae0cb2ac

Aliases

arxiv: 1308.4100 · arxiv_version: 1308.4100v3 · doi: 10.48550/arxiv.1308.4100 · pith_short_12: 7KJVPCSLG5AJ · pith_short_16: 7KJVPCSLG5AJCMWH · pith_short_8: 7KJVPCSL

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/7KJVPCSLG5AJCMWH2E5HHPJW6V \
  | 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: fa93578a4b37409132c7d13a73bd36f560f05b994fc86b4fb28d3edfae0cb2ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3fe8dbff0a0ce9a1d8599613ab2ae4a1e025eac269381cbe1b74277a1d1c102",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-19T19:07:04Z",
    "title_canon_sha256": "20b4e3cb844a34db5ad89ca41a97b26c1708d1f8020aa2c4f2fdf542df603652"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4100",
    "kind": "arxiv",
    "version": 3
  }
}