Pith Number

pith:EKQLV6IX

pith:2007:EKQLV6IXWTBQHCBP7SQNGQUDFT

not attested not anchored not stored refs pending

A two-page disproof of the Borsuk partition conjecture

A. Skopenkov

arxiv:0712.4009 v3 · 2007-12-24 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EKQLV6IXWTBQHCBP7SQNGQUDFT}

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	2026-05-18T00:04:33.119943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22a0baf917b4c303882ffca0d342832cfe2129361c814da6098074f19ac17127

Aliases

arxiv: 0712.4009 · arxiv_version: 0712.4009v3 · doi: 10.48550/arxiv.0712.4009 · pith_short_12: EKQLV6IXWTBQ · pith_short_16: EKQLV6IXWTBQHCBP · pith_short_8: EKQLV6IX

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/EKQLV6IXWTBQHCBP7SQNGQUDFT \
  | 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: 22a0baf917b4c303882ffca0d342832cfe2129361c814da6098074f19ac17127

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96776a085dd8a08e02ae9299bac11353db174e8fdd7a04d0d9d0925526db890d",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2007-12-24T17:47:44Z",
    "title_canon_sha256": "3d369d9fa58c61c5da376bf724394356696743285fa806d1889c186d830272ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.4009",
    "kind": "arxiv",
    "version": 3
  }
}