Pith Number

pith:NVSJ2DZG

pith:2023:NVSJ2DZGSFUXLCA7AYKWQKE6SA

not attested not anchored not stored refs pending

On the optimal arrangement of $2d$ lines in $\mathbb{C}^d$

Joseph W. Iverson, Kean Fallon

arxiv:2312.09975 v1 · 2023-12-15 · math.MG · math.CO · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NVSJ2DZGSFUXLCA7AYKWQKE6SA}

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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.

Cited by

1 paper in Pith

Abelian and Dihedral equiangular tight frames of redundancy $2$

Receipt and verification

First computed	2026-07-05T07:24:43.077719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d649d0f26916975881f061568289e903ecfd3132937365e34b4324adc930379

Aliases

arxiv: 2312.09975 · arxiv_version: 2312.09975v1 · doi: 10.48550/arxiv.2312.09975 · pith_short_12: NVSJ2DZGSFUX · pith_short_16: NVSJ2DZGSFUXLCA7 · pith_short_8: NVSJ2DZG

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/NVSJ2DZGSFUXLCA7AYKWQKE6SA \
  | 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: 6d649d0f26916975881f061568289e903ecfd3132937365e34b4324adc930379

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7688ee2163f5f75045656154442589544446acde2fa7d735f50f399e7368a75",
    "cross_cats_sorted": [
      "math.CO",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2023-12-15T17:38:32Z",
    "title_canon_sha256": "15c7c07a2fbc497c4f5b7487c8d3058137de81c68bc51813720571224f9e5ea8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.09975",
    "kind": "arxiv",
    "version": 1
  }
}