Pith Number

pith:YVVZNBII

pith:2015:YVVZNBIINY5VJURYPM2B7EHLIT

not attested not anchored not stored refs pending

Zero-one laws for connectivity in inhomogeneous random key graphs

Osman Yagan

arxiv:1508.02407 v1 · 2015-08-10 · math.PR · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YVVZNBIINY5VJURYPM2B7EHLIT}

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	2026-05-18T00:52:55.570024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c56b9685086e3b54d2387b341f90eb44d16a68e52802785e85fc34b405c806c4

Aliases

arxiv: 1508.02407 · arxiv_version: 1508.02407v1 · doi: 10.48550/arxiv.1508.02407 · pith_short_12: YVVZNBIINY5V · pith_short_16: YVVZNBIINY5VJURY · pith_short_8: YVVZNBII

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/YVVZNBIINY5VJURYPM2B7EHLIT \
  | 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: c56b9685086e3b54d2387b341f90eb44d16a68e52802785e85fc34b405c806c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ad0ebd34b67ee4e6108c40b629b90b3001ae779df1b72fd3c9817795e431cd1",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-10T20:11:02Z",
    "title_canon_sha256": "6492549b74399f94492524f2eff0e2c55ef25f1687bc216e8ba33d3fe01bcf1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02407",
    "kind": "arxiv",
    "version": 1
  }
}