Pith Number

pith:JLSX2SPE

pith:2014:JLSX2SPEWNCG6AFFYUWSADP6NJ

not attested not anchored not stored refs pending

Rate of convergence in the law of large numbers for supercritical general multi-type branching processes

Alexander Iksanov, Matthias Meiners

arxiv:1401.1368 v2 · 2014-01-07 · 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{JLSX2SPEWNCG6AFFYUWSADP6NJ}

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	2026-05-18T02:38:29.768965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ae57d49e4b3446f00a5c52d200dfe6a71e98153ef6d4340d90959e1da9c35d6

Aliases

arxiv: 1401.1368 · arxiv_version: 1401.1368v2 · doi: 10.48550/arxiv.1401.1368 · pith_short_12: JLSX2SPEWNCG · pith_short_16: JLSX2SPEWNCG6AFF · pith_short_8: JLSX2SPE

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/JLSX2SPEWNCG6AFFYUWSADP6NJ \
  | 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: 4ae57d49e4b3446f00a5c52d200dfe6a71e98153ef6d4340d90959e1da9c35d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9679cb3beff4e0ef86375e9b852e11b27c4e33af757c0a28234ff3765b118513",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-01-07T13:28:37Z",
    "title_canon_sha256": "5737c0c3a1f0033199ebcb8618f9c3ea453dd665aae3b877d076d701f0b76fad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1368",
    "kind": "arxiv",
    "version": 2
  }
}