Pith Number

pith:T7AMFAQC

pith:2015:T7AMFAQCP5H47ZRTXDJ66V36LL

not attested not anchored not stored refs pending

Achieving the orthoplex bound and constructing weighted complex projective 2-designs with Singer sets

Bernhard G. Bodmann, John Haas

arxiv:1509.05333 v1 · 2015-09-17 · math.FA · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T7AMFAQCP5H47ZRTXDJ66V36LL}

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	2026-05-18T01:32:44.147332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fc0c282027f4fcfe633b8d3ef577e5af6bed4f56842ecccbae0e667fbeb37f2

Aliases

arxiv: 1509.05333 · arxiv_version: 1509.05333v1 · doi: 10.48550/arxiv.1509.05333 · pith_short_12: T7AMFAQCP5H4 · pith_short_16: T7AMFAQCP5H47ZRT · pith_short_8: T7AMFAQC

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/T7AMFAQCP5H47ZRTXDJ66V36LL \
  | 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: 9fc0c282027f4fcfe633b8d3ef577e5af6bed4f56842ecccbae0e667fbeb37f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d002470af32e909edccccfdf8896c587938464c2254b5318994637960c99bdeb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-09-17T17:01:20Z",
    "title_canon_sha256": "cb0bb6bbfc1d0ae94b26c8426a7555c67a0963bd7b6e36d5dfbfb9ddddd140ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05333",
    "kind": "arxiv",
    "version": 1
  }
}