Pith Number

pith:V57YMOOC

pith:2013:V57YMOOC2BZO6X32U5APNPYWTR

not attested not anchored not stored refs pending

Spherical designs of harmonic index t

Eiichi Bannai, Makoto Tagami, Takayuki Okuda

arxiv:1308.5101 v1 · 2013-08-23 · 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{V57YMOOC2BZO6X32U5APNPYWTR}

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	2026-05-18T03:15:08.166929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af7f8639c2d072ef5f7aa740f6bf169c50642cb283d3b7823d8ca693a2401d2c

Aliases

arxiv: 1308.5101 · arxiv_version: 1308.5101v1 · doi: 10.48550/arxiv.1308.5101 · pith_short_12: V57YMOOC2BZO · pith_short_16: V57YMOOC2BZO6X32 · pith_short_8: V57YMOOC

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/V57YMOOC2BZO6X32U5APNPYWTR \
  | 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: af7f8639c2d072ef5f7aa740f6bf169c50642cb283d3b7823d8ca693a2401d2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2a3c6182fc9661efbdeedc041e39628d9fd6d60a0ca91d572c7134a63cf0a25",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-08-23T11:18:30Z",
    "title_canon_sha256": "8049890e0e89fc5108854dcdf7f772ab7374c184b027d25f956a0bcecf1b9bd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5101",
    "kind": "arxiv",
    "version": 1
  }
}