Pith Number

pith:NRFXV5TT

pith:2026:NRFXV5TTGPN3HRU4QYHIIQ6BUE

not attested not anchored not stored refs pending

Sets of equiangular lines in dimension $18$ constructed from $A_5^3 \oplus A_1^4$

Akihiro Munemasa, Ferenc Sz\"oll\H{o}si, Kiyoto Yoshino

arxiv:2606.10421 v1 · 2026-06-09 · 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{NRFXV5TTGPN3HRU4QYHIIQ6BUE}

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	2026-06-10T01:10:18.015829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c4b7af67333dbb3c69c860e8443c1a11476efc842ebdefdda342e238497203d

Aliases

arxiv: 2606.10421 · arxiv_version: 2606.10421v1 · doi: 10.48550/arxiv.2606.10421 · pith_short_12: NRFXV5TTGPN3 · pith_short_16: NRFXV5TTGPN3HRU4 · pith_short_8: NRFXV5TT

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/NRFXV5TTGPN3HRU4QYHIIQ6BUE \
  | 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: 6c4b7af67333dbb3c69c860e8443c1a11476efc842ebdefdda342e238497203d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66d8239ae7cf3b2a7c0df238904afe86a1040519f095d066a2094c6d20072fb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-09T04:52:34Z",
    "title_canon_sha256": "83fff27ee3785dfc499945e640bbf774c637d87a963402d9a667cc95b554db29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10421",
    "kind": "arxiv",
    "version": 1
  }
}