Pith Number

pith:4S7BMSNE

pith:2018:4S7BMSNE6W3C6Q5KGLCWYSEVLD

not attested not anchored not stored refs pending

Asymptotic normality in random graphs with given vertex degrees

Svante Janson

arxiv:1812.08063 v2 · 2018-12-19 · 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{4S7BMSNE6W3C6Q5KGLCWYSEVLD}

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	2026-05-17T23:55:03.028790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4be1649a4f5b62f43aa32c56c489558e7956ecb29b104b5ba21f4edbb624f46

Aliases

arxiv: 1812.08063 · arxiv_version: 1812.08063v2 · doi: 10.48550/arxiv.1812.08063 · pith_short_12: 4S7BMSNE6W3C · pith_short_16: 4S7BMSNE6W3C6Q5K · pith_short_8: 4S7BMSNE

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/4S7BMSNE6W3C6Q5KGLCWYSEVLD \
  | 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: e4be1649a4f5b62f43aa32c56c489558e7956ecb29b104b5ba21f4edbb624f46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "125f1593d8cdbb9ada2f724bae3bed2c8de0a3ddcc024104f35a63fee89a0a3a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-19T16:25:33Z",
    "title_canon_sha256": "600ac57785f21bbf72a10d687a9be9c01b39c35b52716262945db27d0506091f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08063",
    "kind": "arxiv",
    "version": 2
  }
}