Pith Number

pith:FULTFR5A

pith:2017:FULTFR5AZQMILDQLFP6KLUI5WH

not attested not anchored not stored refs pending

Asymptotic normality in Crump-Mode-Jagers processes: the lattice case

Svante Janson

arxiv:1711.06514 v2 · 2017-11-17 · 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{FULTFR5AZQMILDQLFP6KLUI5WH}

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	2026-05-18T00:14:46.958502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d1732c7a0cc18858e0b2bfca5d11db1f04e408f4ab6f8e4b2e5cbb50f547b56

Aliases

arxiv: 1711.06514 · arxiv_version: 1711.06514v2 · doi: 10.48550/arxiv.1711.06514 · pith_short_12: FULTFR5AZQMI · pith_short_16: FULTFR5AZQMILDQL · pith_short_8: FULTFR5A

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/FULTFR5AZQMILDQLFP6KLUI5WH \
  | 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: 2d1732c7a0cc18858e0b2bfca5d11db1f04e408f4ab6f8e4b2e5cbb50f547b56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8adc258873466156bb27d89d83d1cb01a9b4539604cb3870f7b79389487e0dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-11-17T12:43:18Z",
    "title_canon_sha256": "31ddf97b03380c302bf0673350c12a509cab08fb4e83ace356c9f3499c68abbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06514",
    "kind": "arxiv",
    "version": 2
  }
}