Pith Number

pith:X457Y5PQ

pith:2025:X457Y5PQDUPBGIFDQLWA3U7YFB

not attested not anchored not stored refs pending

The friendship paradox for trees

Azadeh Parvaneh, Frank den Hollander, Nelly Litvak, Rajat Subhra Hazra

arxiv:2505.21774 v1 · 2025-05-27 · 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{X457Y5PQDUPBGIFDQLWA3U7YFB}

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.

Cited by

1 paper in Pith

Large deviation principle for friendship-biases in Galton--Watson trees

Receipt and verification

First computed	2026-07-05T11:11:03.316130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf3bfc75f01d1e1320a382ec0dd3f82856d8c1e95092559518b40f21d2e35ba5

Aliases

arxiv: 2505.21774 · arxiv_version: 2505.21774v1 · doi: 10.48550/arxiv.2505.21774 · pith_short_12: X457Y5PQDUPB · pith_short_16: X457Y5PQDUPBGIFD · pith_short_8: X457Y5PQ

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/X457Y5PQDUPBGIFDQLWA3U7YFB \
  | 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: bf3bfc75f01d1e1320a382ec0dd3f82856d8c1e95092559518b40f21d2e35ba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e6332536a4870ee9c6c7a19abdb0efcb5196f4d86766bfb6c8ce025cfd75a87",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-05-27T21:18:18Z",
    "title_canon_sha256": "68f4cf648e6e3c7ef87991eefbef14c317cac7ed1197e2c12285c255413b141c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21774",
    "kind": "arxiv",
    "version": 1
  }
}