Pith Number

pith:COKW3E4P

pith:2018:COKW3E4PH6IX4KB6J5CRS55LOB

not attested not anchored not stored refs pending

Equiangular lines, Incoherent sets and Quasi-symmetric designs

Neil I. Gillespie

arxiv:1809.05739 v3 · 2018-09-15 · 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{COKW3E4PH6IX4KB6J5CRS55LOB}

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.

Cited by

1 paper in Pith

Game of Sloanes: Best known packings in complex projective space

Receipt and verification

First computed	2026-05-18T00:00:29.637988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13956d938f3f917e283e4f451977ab7069bfd29aa3e9856e54558484317f5e19

Aliases

arxiv: 1809.05739 · arxiv_version: 1809.05739v3 · doi: 10.48550/arxiv.1809.05739 · pith_short_12: COKW3E4PH6IX · pith_short_16: COKW3E4PH6IX4KB6 · pith_short_8: COKW3E4P

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/COKW3E4PH6IX4KB6J5CRS55LOB \
  | 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: 13956d938f3f917e283e4f451977ab7069bfd29aa3e9856e54558484317f5e19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a651517796d6a0d7c7e7bc9a65c62baf492358bc52a4af4cbe148d1767071162",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-09-15T16:18:36Z",
    "title_canon_sha256": "523142b48eaa21b1547a81982103745b038585345c9a297f642b55d91935627c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05739",
    "kind": "arxiv",
    "version": 3
  }
}