Pith Number

pith:26HQTX5O

pith:2016:26HQTX5OMBZKDA4SAPJDGCVGTM

not attested not anchored not stored refs pending

Functional limit theorems for Galton-Watson processes with very active immigration

Alexander Iksanov, Zakhar Kabluchko

arxiv:1612.01573 v1 · 2016-12-05 · 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{26HQTX5OMBZKDA4SAPJDGCVGTM}

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	2026-05-18T00:55:48.158097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d78f09dfae6072a1839203d2330aa69b03e611a351193f94138e5bcda839bc18

Aliases

arxiv: 1612.01573 · arxiv_version: 1612.01573v1 · doi: 10.48550/arxiv.1612.01573 · pith_short_12: 26HQTX5OMBZK · pith_short_16: 26HQTX5OMBZKDA4S · pith_short_8: 26HQTX5O

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/26HQTX5OMBZKDA4SAPJDGCVGTM \
  | 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: d78f09dfae6072a1839203d2330aa69b03e611a351193f94138e5bcda839bc18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90bb40967595884dd2f0be73dc32ff637c14553c2e1ceafe9cdbbfd69ef4b99d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-05T22:03:46Z",
    "title_canon_sha256": "4d926a9678114096dfa3cb1dca6ff7a2654340fd139fdc75eaaea4acabff5f52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01573",
    "kind": "arxiv",
    "version": 1
  }
}