Pith Number

pith:WS6GYACA

pith:2025:WS6GYACASOT76ZA65XUZFTDPUT

not attested not anchored not stored refs pending

Nearly spanning cycle in the percolated hypercube

Joshua Erde, Lyuben Lichev, Michael Anastos, Michael Krivelevich, Mihyun Kang, Sahar Diskin

arxiv:2505.04436 v1 · 2025-05-07 · 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{WS6GYACASOT76ZA65XUZFTDPUT}

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

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T10:59:51.874249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4bc6c004093a7ff641eede992cc6fa4fe3e6dc418507a0d79430f6cbed70417

Aliases

arxiv: 2505.04436 · arxiv_version: 2505.04436v1 · doi: 10.48550/arxiv.2505.04436 · pith_short_12: WS6GYACASOT7 · pith_short_16: WS6GYACASOT76ZA6 · pith_short_8: WS6GYACA

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/WS6GYACASOT76ZA65XUZFTDPUT \
  | 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: b4bc6c004093a7ff641eede992cc6fa4fe3e6dc418507a0d79430f6cbed70417

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "289a9c78820fdf06b23bf050d8eec9168d28f7ee4e0840faf162e3aff175ba12",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-07T14:03:39Z",
    "title_canon_sha256": "1df0b8c46fd3c12c62e310c5b6c862cfbf128e930a3fe104cf57e7d004c9f67a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.04436",
    "kind": "arxiv",
    "version": 1
  }
}