Pith Number

pith:JKWHXPKB

pith:2009:JKWHXPKBAWCGJ3OL462M5MY7N4

not attested not anchored not stored refs pending

Infinite rate mutually catalytic branching in infinitely many colonies. Construction, characterization and convergence

Achim Klenke, Leonid Mytnik

arxiv:0901.0623 v3 · 2009-01-06 · 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{JKWHXPKBAWCGJ3OL462M5MY7N4}

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	2026-05-18T04:20:23.534271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4aac7bbd41058464edcbe7b4ceb31f6f009c104c72c33b69d13b86c807314c4b

Aliases

arxiv: 0901.0623 · arxiv_version: 0901.0623v3 · doi: 10.48550/arxiv.0901.0623 · pith_short_12: JKWHXPKBAWCG · pith_short_16: JKWHXPKBAWCGJ3OL · pith_short_8: JKWHXPKB

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/JKWHXPKBAWCGJ3OL462M5MY7N4 \
  | 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: 4aac7bbd41058464edcbe7b4ceb31f6f009c104c72c33b69d13b86c807314c4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e25c23eb6c282111485d97f6480e956c0e6e67059cd97f4f49df54fac82a0857",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-01-06T10:47:44Z",
    "title_canon_sha256": "fd15fa293950ea4b0a63b566fb115bbf992c10e374d17d08e272c8cc2a5957f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0623",
    "kind": "arxiv",
    "version": 3
  }
}