Pith Number

pith:TK6Q6XRT

pith:2016:TK6Q6XRTEXR3Q3BWINDNJATJLR

not attested not anchored not stored refs pending

Equiangular Lines and Spherical Codes in Euclidean Space

Benny Sudakov, Felix Dr\"axler, Igor Balla, Peter Keevash

arxiv:1606.06620 v2 · 2016-06-21 · 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{TK6Q6XRTEXR3Q3BWINDNJATJLR}

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	2026-05-18T00:41:18.365357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9abd0f5e3325e3b86c364346d482695c6fdb9c59f96b0ab9d7bf0960c5360812

Aliases

arxiv: 1606.06620 · arxiv_version: 1606.06620v2 · doi: 10.48550/arxiv.1606.06620 · pith_short_12: TK6Q6XRTEXR3 · pith_short_16: TK6Q6XRTEXR3Q3BW · pith_short_8: TK6Q6XRT

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/TK6Q6XRTEXR3Q3BWINDNJATJLR \
  | 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: 9abd0f5e3325e3b86c364346d482695c6fdb9c59f96b0ab9d7bf0960c5360812

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1c27be014a830c42c5a503a654c6005cbd4f54daafe1cfa7853be84db121f5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-21T15:35:05Z",
    "title_canon_sha256": "a3417b57b6c3575e525bc5fb4e15176b51e81a6f250faf9a41114a227a25c35c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06620",
    "kind": "arxiv",
    "version": 2
  }
}