Pith Number

pith:UH4QQFTK

pith:2013:UH4QQFTKANVOV657AL7B3GW44A

not attested not anchored not stored refs pending

Asymptotic normality of fringe subtrees and additive functionals in conditioned Galton--Watson trees

Svante Janson

arxiv:1312.1211 v1 · 2013-12-04 · math.PR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UH4QQFTKANVOV657AL7B3GW44A}

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	2026-05-18T03:05:34.661806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1f908166a036aeafbbf02fe1d9adce0184920e4913a0ac4d93cb38ed8640780

Aliases

arxiv: 1312.1211 · arxiv_version: 1312.1211v1 · doi: 10.48550/arxiv.1312.1211 · pith_short_12: UH4QQFTKANVO · pith_short_16: UH4QQFTKANVOV657 · pith_short_8: UH4QQFTK

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/UH4QQFTKANVOV657AL7B3GW44A \
  | 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: a1f908166a036aeafbbf02fe1d9adce0184920e4913a0ac4d93cb38ed8640780

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "113b1c3a83d9d8dce59cd312e7c03efafdf6c70abeca6d2e4ac809c15cbd4611",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-04T15:39:13Z",
    "title_canon_sha256": "1e5df7cd6fabeedde31cf17b6215ba9fa4f510e403b0edd1c0a491e4c48ae270"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1211",
    "kind": "arxiv",
    "version": 1
  }
}