Pith Number

pith:527UUJMH

pith:2017:527UUJMHYACYVKCJTDB6GB565K

not attested not anchored not stored refs pending

Families of vectors without antipodal pairs

Andrey Kupavskii, Peter Frankl

arxiv:1705.07216 v2 · 2017-05-19 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{527UUJMHYACYVKCJTDB6GB565K}

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	2026-05-18T00:25:23.753015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eebf4a2587c0058aa84998c3e307beea8cc77738a62d4bc4db8f40d8148f0d2f

Aliases

arxiv: 1705.07216 · arxiv_version: 1705.07216v2 · doi: 10.48550/arxiv.1705.07216 · pith_short_12: 527UUJMHYACY · pith_short_16: 527UUJMHYACYVKCJ · pith_short_8: 527UUJMH

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/527UUJMHYACYVKCJTDB6GB565K \
  | 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: eebf4a2587c0058aa84998c3e307beea8cc77738a62d4bc4db8f40d8148f0d2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68baf5ed4e9e990d5629246e1655737235a6c827ec8a3eb989dd0f2799a3557d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-19T22:47:25Z",
    "title_canon_sha256": "94de034d32a29098392ac2d619035e66cfb8d207251bd26e214f9b1a7fc873de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07216",
    "kind": "arxiv",
    "version": 2
  }
}