Pith Number

pith:KZP75SQV

pith:2016:KZP75SQVCGTHGZMU4KXFZDHXLC

not attested not anchored not stored refs pending

New Upper Bounds for Equiangular Lines by Pillar Decomposition

Emily J. King, Xiaoxian Tang

arxiv:1606.03259 v4 · 2016-06-10 · 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{KZP75SQVCGTHGZMU4KXFZDHXLC}

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	2026-05-18T00:15:00.264343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

565ffeca1511a6736594e2ae5c8cf7588ea1853cc20f780975a3e3edf8ccd2ae

Aliases

arxiv: 1606.03259 · arxiv_version: 1606.03259v4 · doi: 10.48550/arxiv.1606.03259 · pith_short_12: KZP75SQVCGTH · pith_short_16: KZP75SQVCGTHGZMU · pith_short_8: KZP75SQV

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/KZP75SQVCGTHGZMU4KXFZDHXLC \
  | 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: 565ffeca1511a6736594e2ae5c8cf7588ea1853cc20f780975a3e3edf8ccd2ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34ef501d5316d99b3603afd16780c584384cdb1786b6a352f00f8e27bec0830b",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-10T10:23:56Z",
    "title_canon_sha256": "46e931dfabe5be6867862ab504aed234379226eea6b3247e082fb9bcddc1c5bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03259",
    "kind": "arxiv",
    "version": 4
  }
}