Pith Number

pith:6VIJ6GTC

pith:2015:6VIJ6GTCC4MOYD2FUIGCJH5CDF

not attested not anchored not stored refs pending

Almost sure convergence of vertex degree densities in the vertex-splitting model

Erik Th\"ornblad, Sigurdur \"Orn Stef\'ansson

arxiv:1511.02332 v1 · 2015-11-07 · math.PR · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6VIJ6GTCC4MOYD2FUIGCJH5CDF}

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	2026-05-18T00:56:12.389646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5509f1a621718ec0f45a20c249fa219633b91c1febc90aa4a98b8be26d01974

Aliases

arxiv: 1511.02332 · arxiv_version: 1511.02332v1 · doi: 10.48550/arxiv.1511.02332 · pith_short_12: 6VIJ6GTCC4MO · pith_short_16: 6VIJ6GTCC4MOYD2F · pith_short_8: 6VIJ6GTC

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/6VIJ6GTCC4MOYD2FUIGCJH5CDF \
  | 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: f5509f1a621718ec0f45a20c249fa219633b91c1febc90aa4a98b8be26d01974

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56a51f75809511f0bff2f90bd16a852d6ade03224545f7b630fc24dbb1151ea0",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-07T10:19:48Z",
    "title_canon_sha256": "93dd16fe7be1a9207e491594ca9c2e3f90f6922ef170c3aef44171fc2489d639"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02332",
    "kind": "arxiv",
    "version": 1
  }
}