Pith Number

pith:BYYMXFFJ

pith:2019:BYYMXFFJ6AZMVZKYOET3X7LRB5

not attested not anchored not stored refs pending

Preferential attachment without vertex growth: emergence of the giant component

Lutz Warnke, Svante Janson

arxiv:1904.11861 v1 · 2019-04-26 · math.PR · cond-mat.stat-mech · cs.SI · math.CO · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BYYMXFFJ6AZMVZKYOET3X7LRB5}

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

Giant descendant trees, matchings and independent sets in the age-biased attachment graphs

Receipt and verification

First computed	2026-07-05T04:27:26.835856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e30cb94a9f032cae5587127bbfd710f78f22e396b3dd0d5670c0809f45ee087

Aliases

arxiv: 1904.11861 · arxiv_version: 1904.11861v1 · doi: 10.48550/arxiv.1904.11861 · pith_short_12: BYYMXFFJ6AZM · pith_short_16: BYYMXFFJ6AZMVZKY · pith_short_8: BYYMXFFJ

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/BYYMXFFJ6AZMVZKYOET3X7LRB5 \
  | 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: 0e30cb94a9f032cae5587127bbfd710f78f22e396b3dd0d5670c0809f45ee087

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0224e5c5fa4a0bb55c043bbcf9be27ee22ae86001108f959bef62b7a372df80f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.SI",
      "math.CO",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-04-26T14:17:54Z",
    "title_canon_sha256": "c780119163fb507a294d29ccd48542457b3d0e2e940fb9a84d9f8472f0bfec83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.11861",
    "kind": "arxiv",
    "version": 1
  }
}