Pith Number

pith:HQRXWM65

pith:2025:HQRXWM65CMAMOEUBJAF4ZYG4EI

not attested not anchored not stored refs pending

The bunkbed conjecture still holds for cactus graphs and for graphs with certain biconnected components

Robin Denart

arxiv:2506.09264 v1 · 2025-06-10 · 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{HQRXWM65CMAMOEUBJAF4ZYG4EI}

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	2026-07-05T11:19:33.887918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c237b33dd1300c71281480bcce0dc222098afa2da8c91ed6c9314a65060a766

Aliases

arxiv: 2506.09264 · arxiv_version: 2506.09264v1 · doi: 10.48550/arxiv.2506.09264 · pith_short_12: HQRXWM65CMAM · pith_short_16: HQRXWM65CMAMOEUB · pith_short_8: HQRXWM65

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/HQRXWM65CMAMOEUBJAF4ZYG4EI \
  | 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: 3c237b33dd1300c71281480bcce0dc222098afa2da8c91ed6c9314a65060a766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d8696f4f1d6ab93cc3a29eda5475cb99631203e754af77d94bfee5dc6fdffe1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-06-10T21:56:51Z",
    "title_canon_sha256": "c157ef6e2d64bfabb48c64c984cab51fc6ccbfc1482529d5fdda922c655c1f3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.09264",
    "kind": "arxiv",
    "version": 1
  }
}