Pith Number

pith:K2SX7AP4

pith:2015:K2SX7AP4KD4TRJURBNORZH7RGE

not attested not anchored not stored refs pending

On local weak limit and subgraph counts for sparse random graphs

Valentas Kurauskas

arxiv:1504.08103 v3 · 2015-04-30 · 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{K2SX7AP4KD4TRJURBNORZH7RGE}

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

Local convergence of random planar graphs

Receipt and verification

First computed	2026-07-05T05:38:38.101903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56a57f81fc50f938a6910b5d1c9ff1312ea799f97f09f39fd85fd865a2bd0e99

Aliases

arxiv: 1504.08103 · arxiv_version: 1504.08103v3 · doi: 10.48550/arxiv.1504.08103 · pith_short_12: K2SX7AP4KD4T · pith_short_16: K2SX7AP4KD4TRJUR · pith_short_8: K2SX7AP4

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/K2SX7AP4KD4TRJURBNORZH7RGE \
  | 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: 56a57f81fc50f938a6910b5d1c9ff1312ea799f97f09f39fd85fd865a2bd0e99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eeef3eee383fc3e195ba117c112ce146a5836d8684361bb6dab07324704fe66",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-30T07:28:00Z",
    "title_canon_sha256": "e26d04b1d9570c160d64c9bdf2392c90bdcdb5b02c7468289d5384fb303f8fa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08103",
    "kind": "arxiv",
    "version": 3
  }
}