Pith Number

pith:GXMPFIQS

pith:2019:GXMPFIQSQFGG5PTDK7UBOSQYB6

not attested not anchored not stored refs pending

Biangular Gabor frames and Zauner's conjecture

Dustin G. Mixon, Mark Magsino

arxiv:1908.02801 v1 · 2019-08-07 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXMPFIQSQFGG5PTDK7UBOSQYB6}

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	2026-07-04T23:52:23.378171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35d8f2a212814c6ebe6357e8174a180faede059e2f16eadd069135d53e605144

Aliases

arxiv: 1908.02801 · arxiv_version: 1908.02801v1 · doi: 10.48550/arxiv.1908.02801 · pith_short_12: GXMPFIQSQFGG · pith_short_16: GXMPFIQSQFGG5PTD · pith_short_8: GXMPFIQS

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/GXMPFIQSQFGG5PTDK7UBOSQYB6 \
  | 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: 35d8f2a212814c6ebe6357e8174a180faede059e2f16eadd069135d53e605144

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "407733087d22b25b5e8c2a8ab43ccf8b5299b25e13381b935edb8871d12e7378",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-08-07T19:08:31Z",
    "title_canon_sha256": "853bface69b097926175b3f923fcbe12cadf3765dccbf1b844583646e197b09f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02801",
    "kind": "arxiv",
    "version": 1
  }
}