Pith Number

pith:2CE7IZEE

pith:2018:2CE7IZEER27IRXHDKIGH2ON7Q4

not attested not anchored not stored refs pending

On the counterexamples to Borsuk's conjecture by Kahn and Kalai

Thomas Jenrich

arxiv:1809.09612 v4 · 2018-09-25 · 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{2CE7IZEER27IRXHDKIGH2ON7Q4}

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	2026-05-18T00:03:36.467175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d089f464848ebe88dce3520c7d39bf8728e4bf8b4b8ba3a82cedd68c856ce8c4

Aliases

arxiv: 1809.09612 · arxiv_version: 1809.09612v4 · doi: 10.48550/arxiv.1809.09612 · pith_short_12: 2CE7IZEER27I · pith_short_16: 2CE7IZEER27IRXHD · pith_short_8: 2CE7IZEE

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/2CE7IZEER27IRXHDKIGH2ON7Q4 \
  | 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: d089f464848ebe88dce3520c7d39bf8728e4bf8b4b8ba3a82cedd68c856ce8c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "403ef8a39a9d74a2430afed3791d185c07dc2db24202845f8ca9b7608fcda416",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-25T17:49:26Z",
    "title_canon_sha256": "6905a3ecd886c3eca71f8766abe6cb1cc956c29e3e42bc35def726e1e770f260"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09612",
    "kind": "arxiv",
    "version": 4
  }
}