Pith Number

pith:QU6SAXWO

pith:2013:QU6SAXWOYAGQ4FJZIKIXRPTPZY

not attested not anchored not stored refs pending

On multiple Borsuk numbers in normed spaces

M\'arton Nasz\'odi, Zsolt L\'angi

arxiv:1311.3193 v2 · 2013-11-13 · 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{QU6SAXWOYAGQ4FJZIKIXRPTPZY}

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	2026-05-18T03:06:12.734590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

853d205ecec00d0e1539429178be6fce2650265f638dbd53585ef0dfaba0aeaa

Aliases

arxiv: 1311.3193 · arxiv_version: 1311.3193v2 · doi: 10.48550/arxiv.1311.3193 · pith_short_12: QU6SAXWOYAGQ · pith_short_16: QU6SAXWOYAGQ4FJZ · pith_short_8: QU6SAXWO

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/QU6SAXWOYAGQ4FJZIKIXRPTPZY \
  | 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: 853d205ecec00d0e1539429178be6fce2650265f638dbd53585ef0dfaba0aeaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42f26297f9f27e52a77174e1bb246f074382970ef3679b581e19bf44cbd07244",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-11-13T16:25:56Z",
    "title_canon_sha256": "915b32afee0ef8228b71d5bec5fc432f01b71b6a6fe338262535ad78fc5cf1d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3193",
    "kind": "arxiv",
    "version": 2
  }
}