Pith Number

pith:KZWE5CHR

pith:2019:KZWE5CHROQ37UILQDZ2IHZ3VVR

not attested not anchored not stored refs pending

Lattices from tight frames and vertex transitive graphs

Deanna Needell, Josiah Park, Lenny Fukshansky, Yuxin Xin

arxiv:1902.02862 v3 · 2019-02-07 · math.CO · cs.NA · math.MG · math.NA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZWE5CHROQ37UILQDZ2IHZ3VVR}

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	2026-07-04T23:58:06.265992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

566c4e88f17437fa21701e7483e775ac55b44dde11f5f83a86c022ecaff74be2

Aliases

arxiv: 1902.02862 · arxiv_version: 1902.02862v3 · doi: 10.48550/arxiv.1902.02862 · pith_short_12: KZWE5CHROQ37 · pith_short_16: KZWE5CHROQ37UILQ · pith_short_8: KZWE5CHR

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/KZWE5CHROQ37UILQDZ2IHZ3VVR \
  | 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: 566c4e88f17437fa21701e7483e775ac55b44dde11f5f83a86c022ecaff74be2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90fa6b8a3bd407b0c65285e4e507d8dbf546bd5148c7ce2871e032ff2c7ce84c",
    "cross_cats_sorted": [
      "cs.NA",
      "math.MG",
      "math.NA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-07T21:58:42Z",
    "title_canon_sha256": "69fa06463dd8d1ea291828ff17f01cd9bc8bd4e1655bae9b3af6db858f417ff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02862",
    "kind": "arxiv",
    "version": 3
  }
}