Pith Number

pith:KOE4XKRF

pith:2009:KOE4XKRF42E6727MWS3KL7ZV7I

not attested not anchored not stored refs pending

Occupation times of subcritical branching immigration systems with Markov motion, clt and deviations principles

Piotr Milos

arxiv:0911.0777 v2 · 2009-11-04 · 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{KOE4XKRF42E6727MWS3KL7ZV7I}

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	2026-05-18T03:40:03.803597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5389cbaa25e689efebecb4b6a5ff35fa2ceaa2bf2eab2857b916f61f44f5a935

Aliases

arxiv: 0911.0777 · arxiv_version: 0911.0777v2 · doi: 10.48550/arxiv.0911.0777 · pith_short_12: KOE4XKRF42E6 · pith_short_16: KOE4XKRF42E6727M · pith_short_8: KOE4XKRF

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/KOE4XKRF42E6727MWS3KL7ZV7I \
  | 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: 5389cbaa25e689efebecb4b6a5ff35fa2ceaa2bf2eab2857b916f61f44f5a935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a9b5f1c16159e6420877bf4f9f70a23e1674722cde6f286b3b8f91027ff4db0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-11-04T10:57:00Z",
    "title_canon_sha256": "de9ddbe55c4c65d7a842738e68d1cc49570e38e47d137f38840e991ff78789e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0777",
    "kind": "arxiv",
    "version": 2
  }
}