Pith Number

pith:OZYRXKZC

pith:2016:OZYRXKZCTJO3QMFSQGERUREEIS

not attested not anchored not stored refs pending

Recurrence and transience of near-critical multivariate growth models: criteria and examples

G\"otz Kersting

arxiv:1604.00864 v1 · 2016-04-04 · 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{OZYRXKZCTJO3QMFSQGERUREEIS}

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	2026-05-18T01:17:47.974928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76711bab229a5db830b281891a44844496becb4c0af0778824353a0991ee304f

Aliases

arxiv: 1604.00864 · arxiv_version: 1604.00864v1 · doi: 10.48550/arxiv.1604.00864 · pith_short_12: OZYRXKZCTJO3 · pith_short_16: OZYRXKZCTJO3QMFS · pith_short_8: OZYRXKZC

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/OZYRXKZCTJO3QMFSQGERUREEIS \
  | 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: 76711bab229a5db830b281891a44844496becb4c0af0778824353a0991ee304f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54e28c4b6e1e8654b7558c426630d79bb1a14934b54c298d12c1debe425e9533",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-04T14:05:54Z",
    "title_canon_sha256": "bace00709fed6ea0e62fc7357cb06d212667a5e20147d326111a6137ed73ea3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00864",
    "kind": "arxiv",
    "version": 1
  }
}