Pith Number

pith:K34MD26L

pith:2023:K34MD26LBFGQYAPTP6JO6CSBQH

not attested not anchored not stored refs pending

Component sizes in the supercritical percolation on the binary cube

Michael Krivelevich

arxiv:2311.07210 v1 · 2023-11-13 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K34MD26LBFGQYAPTP6JO6CSBQH}

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

2 papers in Pith

Diameter and mixing time of the giant component in the percolated hypercube

The Mihail-Vazirani conjecture and strong edge-expansion in random $0/1$ polytopes

Receipt and verification

First computed	2026-07-05T07:12:09.716118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56f8c1ebcb094d0c01f37f92ef0a4181ea87d28eea507539658ff053c10dbcc3

Aliases

arxiv: 2311.07210 · arxiv_version: 2311.07210v1 · doi: 10.48550/arxiv.2311.07210 · pith_short_12: K34MD26LBFGQ · pith_short_16: K34MD26LBFGQYAPT · pith_short_8: K34MD26L

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/K34MD26LBFGQYAPTP6JO6CSBQH \
  | 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: 56f8c1ebcb094d0c01f37f92ef0a4181ea87d28eea507539658ff053c10dbcc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c32f6e2a491ab2d43cb621c3cd7efa77a62a808cc8932f17ecd2668262189068",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-11-13T10:12:07Z",
    "title_canon_sha256": "4fc0551aa414accf06f3b1314a68147fdc40bf5ad830c226e9cc36cce8cc311d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.07210",
    "kind": "arxiv",
    "version": 1
  }
}