Pith Number

pith:TJMUOYN7

pith:2015:TJMUOYN7OQGUZUEFOUCY7E6YW3

not attested not anchored not stored refs pending

On Euclidean $t$-designs

B\'ela Bajnok

arxiv:1512.02981 v1 · 2015-12-09 · 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{TJMUOYN7OQGUZUEFOUCY7E6YW3}

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	2026-05-18T01:24:39.107807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a594761bf740d4cd08575058f93d8b6e0a779714feae68b22ad9cb7cc1493b2

Aliases

arxiv: 1512.02981 · arxiv_version: 1512.02981v1 · doi: 10.48550/arxiv.1512.02981 · pith_short_12: TJMUOYN7OQGU · pith_short_16: TJMUOYN7OQGUZUEF · pith_short_8: TJMUOYN7

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/TJMUOYN7OQGUZUEFOUCY7E6YW3 \
  | 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: 9a594761bf740d4cd08575058f93d8b6e0a779714feae68b22ad9cb7cc1493b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12989c33b8eb1c9042d5515863f8944c4448773a98e18199d88db1257e798bb3",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-09T18:29:39Z",
    "title_canon_sha256": "58b90ce4d5a1aadac8deecc8877113e181f0a95a08587a3081c6d33ac2e66e5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02981",
    "kind": "arxiv",
    "version": 1
  }
}