Pith Number

pith:FNKXBQ7T

pith:2018:FNKXBQ7TJLSWJYLVURPFS52XVD

not attested not anchored not stored refs pending

Steady state for the subcritical contact branching random walk on the lattice with the arbitrary number of offspring and with immigration

Elena Chernousova, Joseph Whitmeyer, Stanislav Molchanov, Yaqin Feng

arxiv:1808.05674 v1 · 2018-08-16 · 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{FNKXBQ7TJLSWJYLVURPFS52XVD}

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	2026-05-18T00:07:46.660009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b5570c3f34ae564e175a45e597757a8cdd2ea4c1edb9ff04cc6fc7a569f3624

Aliases

arxiv: 1808.05674 · arxiv_version: 1808.05674v1 · doi: 10.48550/arxiv.1808.05674 · pith_short_12: FNKXBQ7TJLSW · pith_short_16: FNKXBQ7TJLSWJYLV · pith_short_8: FNKXBQ7T

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/FNKXBQ7TJLSWJYLVURPFS52XVD \
  | 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: 2b5570c3f34ae564e175a45e597757a8cdd2ea4c1edb9ff04cc6fc7a569f3624

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd773a1ce417b2208141db7390fa56aef81bae0433d98ff86ba1161d9bd17cd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-16T20:32:25Z",
    "title_canon_sha256": "76848847a044cbad7b3f05712d3a76c0b510ecd6f596e6265faa7a803f7defe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05674",
    "kind": "arxiv",
    "version": 1
  }
}