Pith Number

pith:YI6UXFMP

pith:2016:YI6UXFMPKZWBNDLTCFZPEVT43Z

not attested not anchored not stored refs pending

New bounds for equiangular lines and spherical two-distance sets

Wei-Hsuan Yu

arxiv:1609.01036 v1 · 2016-09-05 · 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{YI6UXFMPKZWBNDLTCFZPEVT43Z}

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	2026-05-18T01:06:19.234046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c23d4b958f566c168d731172f2567cde5e7c12fb1c9873e06ba144632508e494

Aliases

arxiv: 1609.01036 · arxiv_version: 1609.01036v1 · doi: 10.48550/arxiv.1609.01036 · pith_short_12: YI6UXFMPKZWB · pith_short_16: YI6UXFMPKZWBNDLT · pith_short_8: YI6UXFMP

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/YI6UXFMPKZWBNDLTCFZPEVT43Z \
  | 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: c23d4b958f566c168d731172f2567cde5e7c12fb1c9873e06ba144632508e494

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44cd31f13ac74261f5dee303f68623a754c7d1efde03496cba294d4b7136211d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-09-05T06:41:27Z",
    "title_canon_sha256": "a92306d1be5fcc387d89029696e367d44c456169268fd40340ddf05258493628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01036",
    "kind": "arxiv",
    "version": 1
  }
}