Pith Number

pith:ME4BANYT

pith:2015:ME4BANYT3PZZ7K4MWLJDC62HCJ

not attested not anchored not stored refs pending

Finite system scheme for infinite rate mutually catalytic branching with infinite branching rate

Achim Klenke, Leif Doering, Leonid Mytnik

arxiv:1510.01154 v3 · 2015-10-05 · 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{ME4BANYT3PZZ7K4MWLJDC62HCJ}

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	2026-05-18T00:51:34.251459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6138103713dbf39fab8cb2d2317b47126605f6c30c2725c7d5c1f7abaa0c7a65

Aliases

arxiv: 1510.01154 · arxiv_version: 1510.01154v3 · doi: 10.48550/arxiv.1510.01154 · pith_short_12: ME4BANYT3PZZ · pith_short_16: ME4BANYT3PZZ7K4M · pith_short_8: ME4BANYT

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/ME4BANYT3PZZ7K4MWLJDC62HCJ \
  | 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: 6138103713dbf39fab8cb2d2317b47126605f6c30c2725c7d5c1f7abaa0c7a65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f414c3465c59db7e1b833c0c3e30b928c4d3b270dbcd063fa427572854c62396",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-05T13:55:20Z",
    "title_canon_sha256": "0b649b4ce5ba29634223d06444e238b9b01f64c798d66fa9cbf8b492b02172c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01154",
    "kind": "arxiv",
    "version": 3
  }
}