Pith Number

pith:BGUVIMAY

pith:2018:BGUVIMAYDNA4DIGNANSHT3427V

not attested not anchored not stored refs pending

A proof of the Bunkbed conjecture on the complete graph for $p\geqslant1/2$

Paul de Buyer

arxiv:1802.04694 v1 · 2018-02-13 · 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{BGUVIMAYDNA4DIGNANSHT3427V}

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	2026-05-18T00:23:41.661977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09a95430181b41c1a0cd036479ef9afd6bb39d84eced7ee1bc75e34f7ef2c52a

Aliases

arxiv: 1802.04694 · arxiv_version: 1802.04694v1 · doi: 10.48550/arxiv.1802.04694 · pith_short_12: BGUVIMAYDNA4 · pith_short_16: BGUVIMAYDNA4DIGN · pith_short_8: BGUVIMAY

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/BGUVIMAYDNA4DIGNANSHT3427V \
  | 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: 09a95430181b41c1a0cd036479ef9afd6bb39d84eced7ee1bc75e34f7ef2c52a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c02b90768f93603cbb8341803b4e9b63c82320a5a6b27f275d67cd7d1459989",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-02-13T15:54:52Z",
    "title_canon_sha256": "0e32f42ecffab9cd6340d87a5a31fa5afa8817faae375fa9a820020fc15a92ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04694",
    "kind": "arxiv",
    "version": 1
  }
}