Pith Number

pith:UK5OHPKU

pith:2015:UK5OHPKUHPNZHJTUB7T7IQ3OAP

not attested not anchored not stored refs pending

Convergence of an infinite dimensional stochastic process to a spatially structured trait substitution sequence

Helene Leman

arxiv:1509.02022 v1 · 2015-09-07 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UK5OHPKUHPNZHJTUB7T7IQ3OAP}

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	2026-05-18T01:33:49.910067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2bae3bd543bdb93a6740fe7f4436e03e0baeedcbeaae9e24a35de95dfb61ee8

Aliases

arxiv: 1509.02022 · arxiv_version: 1509.02022v1 · doi: 10.48550/arxiv.1509.02022 · pith_short_12: UK5OHPKUHPNZ · pith_short_16: UK5OHPKUHPNZHJTU · pith_short_8: UK5OHPKU

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/UK5OHPKUHPNZHJTUB7T7IQ3OAP \
  | 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: a2bae3bd543bdb93a6740fe7f4436e03e0baeedcbeaae9e24a35de95dfb61ee8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b20163ccc3124f8183094af4fadd1872309f07a42416b3465f47ba9573cb436",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-07T13:07:40Z",
    "title_canon_sha256": "c3af92841ab3933ac991569690dee848247cf299adf1b331459b57c119242c1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02022",
    "kind": "arxiv",
    "version": 1
  }
}