Pith Number

pith:4JK4CLBL

pith:2020:4JK4CLBL4NMHDA6POWZKA4S6VT

not attested not anchored not stored refs pending

Convergence of the one-dimensional contact process with two types of particles and priority

Mariela Pent\'on Machado

arxiv:2011.02374 v3 · 2020-11-04 · 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{4JK4CLBL4NMHDA6POWZKA4S6VT}

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	2026-07-05T03:58:13.508553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e255c12c2be3587183cf75b2a0725eacdc3be941c2647ef72d2d91d9ae0b5211

Aliases

arxiv: 2011.02374 · arxiv_version: 2011.02374v3 · doi: 10.48550/arxiv.2011.02374 · pith_short_12: 4JK4CLBL4NMH · pith_short_16: 4JK4CLBL4NMHDA6P · pith_short_8: 4JK4CLBL

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/4JK4CLBL4NMHDA6POWZKA4S6VT \
  | 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: e255c12c2be3587183cf75b2a0725eacdc3be941c2647ef72d2d91d9ae0b5211

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb2182e98e9962d035681cbd61f53eec498d606190897dc3af4ee92c6e3d3512",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-11-04T16:05:55Z",
    "title_canon_sha256": "382acc1c0a599601e73c1787b4f0a5f0c2408ad2e7d3710238707b758603ae9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.02374",
    "kind": "arxiv",
    "version": 3
  }
}