Pith Number

pith:GDMICP4S

pith:2015:GDMICP4SCPQURKQIVXNABQX2UO

not attested not anchored not stored refs pending

More on spherical designs of harmonic index $t$

Eiichi Bannai, Etsuko Bannai, Kyoung-Tark Kim, Wei-Hsuan Yu, Yan Zhu

arxiv:1507.05373 v2 · 2015-07-20 · 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{GDMICP4SCPQURKQIVXNABQX2UO}

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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	2026-05-18T01:36:32.919222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30d8813f9213e148aa08adda00c2faa3b98187b595229cd7f6ff178741242a0c

Aliases

arxiv: 1507.05373 · arxiv_version: 1507.05373v2 · doi: 10.48550/arxiv.1507.05373 · pith_short_12: GDMICP4SCPQU · pith_short_16: GDMICP4SCPQURKQI · pith_short_8: GDMICP4S

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/GDMICP4SCPQURKQIVXNABQX2UO \
  | 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: 30d8813f9213e148aa08adda00c2faa3b98187b595229cd7f6ff178741242a0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93b1b3d2720dc61c25fd6c79eefd1cb681f5dc0c915519341a94d01097ae97bd",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-20T02:53:54Z",
    "title_canon_sha256": "fa69ab05b606e7d2a59b0d363322103ed203065575177128f55f54ff7d519acb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05373",
    "kind": "arxiv",
    "version": 2
  }
}