Pith Number

pith:7YXALF7N

pith:2025:7YXALF7NY3OJZZ3NNRZTXORD7L

not attested not anchored not stored refs pending

On the Structure of Frames and Equiangular Lines over Finite Fields and their Connections to Design Theory

Emily J. King, Ian Jorquera

arxiv:2505.12175 v1 · 2025-05-18 · 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{7YXALF7NY3OJZZ3NNRZTXORD7L}

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	2026-07-05T11:04:59.717761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe2e0597edc6dc9ce76d6c733bba23fae8ed7a09d1d0a45384374bed2aaebd51

Aliases

arxiv: 2505.12175 · arxiv_version: 2505.12175v1 · doi: 10.48550/arxiv.2505.12175 · pith_short_12: 7YXALF7NY3OJ · pith_short_16: 7YXALF7NY3OJZZ3N · pith_short_8: 7YXALF7N

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/7YXALF7NY3OJZZ3NNRZTXORD7L \
  | 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: fe2e0597edc6dc9ce76d6c733bba23fae8ed7a09d1d0a45384374bed2aaebd51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3f32f436a3774732c3d8d34f19ae71edde8de99fe033e8f4f70d5ad84398aca",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-18T00:13:41Z",
    "title_canon_sha256": "78ccbf2eaa661ee0b5aad7750e73a4785df6ff9b85930bc24486271e2b115f7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.12175",
    "kind": "arxiv",
    "version": 1
  }
}