Pith Number

pith:RZ7SZH7C

pith:2014:RZ7SZH7C7QAMWQ4ZLDAHYW3MVL

not attested not anchored not stored refs pending

Asymptotic distribution of the numbers of vertices and arcs of the giant strong component in sparse random digraphs

Boris Pittel, Daniel Poole

arxiv:1405.4022 v2 · 2014-05-15 · 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{RZ7SZH7C7QAMWQ4ZLDAHYW3MVL}

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	2026-05-18T02:03:55.595485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e7f2c9fe2fc00cb439958c07c5b6caafd267fcb7da66a5009425352ac136c08

Aliases

arxiv: 1405.4022 · arxiv_version: 1405.4022v2 · doi: 10.48550/arxiv.1405.4022 · pith_short_12: RZ7SZH7C7QAM · pith_short_16: RZ7SZH7C7QAMWQ4Z · pith_short_8: RZ7SZH7C

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/RZ7SZH7C7QAMWQ4ZLDAHYW3MVL \
  | 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: 8e7f2c9fe2fc00cb439958c07c5b6caafd267fcb7da66a5009425352ac136c08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49320e6cebee6f7cdbea1e1966c0dfd21619632aee27ddbcbb67c4e4bcf3d6a2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-15T21:50:28Z",
    "title_canon_sha256": "1263bef52bcd319ec3c45d00bd568b15eb726c13c99a0ea16ed2f3185a985207"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4022",
    "kind": "arxiv",
    "version": 2
  }
}