Pith Number

pith:KZHDVKHY

pith:2013:KZHDVKHYC65RJSBIRGESMPUDEP

not attested not anchored not stored refs pending

Tail asymptotics for the supercritical Galton-Watson process in the heavy-tailed case

Denis Denisov, Dmitry Korshunov, Vitali Wachtel

arxiv:1303.2306 v1 · 2013-03-10 · 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{KZHDVKHYC65RJSBIRGESMPUDEP}

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	2026-05-18T03:31:19.412093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

564e3aa8f817bb14c8288989263e8323dbe983774908db1fe8cfe3f0058eaa83

Aliases

arxiv: 1303.2306 · arxiv_version: 1303.2306v1 · doi: 10.48550/arxiv.1303.2306 · pith_short_12: KZHDVKHYC65R · pith_short_16: KZHDVKHYC65RJSBI · pith_short_8: KZHDVKHY

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/KZHDVKHYC65RJSBIRGESMPUDEP \
  | 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: 564e3aa8f817bb14c8288989263e8323dbe983774908db1fe8cfe3f0058eaa83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b785fb3e1a9f5fd178dc592a7623707972fa2bc7e0201ba41482b852f8cc72a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-10T10:27:48Z",
    "title_canon_sha256": "d3d5b9f6cb6d0f29bf451121d1c58743a01bb26a8092fa7936ae605dcc0c9507"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2306",
    "kind": "arxiv",
    "version": 1
  }
}