Pith Number

pith:SOUCOK3F

pith:2013:SOUCOK3FNDUI2GR6C3R2XPHFIZ

not attested not anchored not stored refs pending

A 64-dimensional two-distance counterexample to Borsuk's conjecture

Thomas Jenrich

arxiv:1308.0206 v6 · 2013-08-01 · math.MG · 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{SOUCOK3FNDUI2GR6C3R2XPHFIZ}

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 Gromov--Hausdorff Distance between Simplexes and Two-Distance Spaces

Receipt and verification

First computed	2026-05-18T02:44:54.835469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93a8272b6568e88d1a3e16e3abbce54653ae2bcd87f10103928bf4542e189ddf

Aliases

arxiv: 1308.0206 · arxiv_version: 1308.0206v6 · doi: 10.48550/arxiv.1308.0206 · pith_short_12: SOUCOK3FNDUI · pith_short_16: SOUCOK3FNDUI2GR6 · pith_short_8: SOUCOK3F

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/SOUCOK3FNDUI2GR6C3R2XPHFIZ \
  | 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: 93a8272b6568e88d1a3e16e3abbce54653ae2bcd87f10103928bf4542e189ddf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7c6695649068bc98b22d8b5593821b01a420028eba3388b0317feb25f72013a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-08-01T13:59:12Z",
    "title_canon_sha256": "08c5c914410c0d7e76090e271ae8a954c19c0034672291a32159d76089473c1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0206",
    "kind": "arxiv",
    "version": 6
  }
}