Pith Number

pith:PYY7G4TU

pith:2013:PYY7G4TU3BJ2RNSH4FYCTL4LFV

not attested not anchored not stored refs pending

A note on the scaling limits of contour functions of Galton-Watson trees

Hui He, Nana Luan

arxiv:1305.1418 v1 · 2013-05-07 · 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{PYY7G4TU3BJ2RNSH4FYCTL4LFV}

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	2026-05-18T03:26:21.831059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e31f37274d853a8b647e17029af8b2d5b8e0bdef88dadeaf089184cf72edf61

Aliases

arxiv: 1305.1418 · arxiv_version: 1305.1418v1 · doi: 10.48550/arxiv.1305.1418 · pith_short_12: PYY7G4TU3BJ2 · pith_short_16: PYY7G4TU3BJ2RNSH · pith_short_8: PYY7G4TU

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/PYY7G4TU3BJ2RNSH4FYCTL4LFV \
  | 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: 7e31f37274d853a8b647e17029af8b2d5b8e0bdef88dadeaf089184cf72edf61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c013f462ece43c7963f4dcda468d4f1e6a526d8009dfcc9351b7e02160712507",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-07T06:11:36Z",
    "title_canon_sha256": "50ee42bf8eeb39398ecf43d6c35d28a568c24f6e61e4727043944996146ff0b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1418",
    "kind": "arxiv",
    "version": 1
  }
}