Pith Number

pith:UEGPV3XL

pith:2026:UEGPV3XL5D5N3UF2W6R32ZNGNK

not attested not anchored not stored refs pending

The Singer-Zauner gap for equiangular tight frames

Dustin G. Mixon, John Jasper, Matthew Fickus

arxiv:2605.28738 v1 · 2026-05-27 · math.FA · 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{UEGPV3XL5D5N3UF2W6R32ZNGNK}

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	2026-05-28T02:05:01.600088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a10cfaeeebe8faddd0bab7a3bd65a66ab7fc8b7073aea555d06a2a851ce72bc3

Aliases

arxiv: 2605.28738 · arxiv_version: 2605.28738v1 · doi: 10.48550/arxiv.2605.28738 · pith_short_12: UEGPV3XL5D5N · pith_short_16: UEGPV3XL5D5N3UF2 · pith_short_8: UEGPV3XL

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/UEGPV3XL5D5N3UF2W6R32ZNGNK \
  | 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: a10cfaeeebe8faddd0bab7a3bd65a66ab7fc8b7073aea555d06a2a851ce72bc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89534a25e5b9a8b014c6f7a1dd424e9e08e57fd52a635abcc713a027b4c783ea",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-05-27T16:57:57Z",
    "title_canon_sha256": "4f6aefc18f49e7403b5b25e6fc9365aeb53721f8efc1eeb78bebb66e2c8e40d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28738",
    "kind": "arxiv",
    "version": 1
  }
}