Pith Number

pith:5DYMO5IL

pith:2026:5DYMO5IL25N2D5KYEKQJKH3QUO

not attested not anchored not stored refs pending

On the existence problem of regular Gabor frames

Jaume de Dios Pont, Lukas Liehr, Mitchell A. Taylor

arxiv:2606.26052 v1 · 2026-06-24 · 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{5DYMO5IL25N2D5KYEKQJKH3QUO}

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	2026-06-25T01:18:47.113351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8f0c7750bd75ba1f55822a0951f70a39c9cbbb9a0db89301d1d24564af5c9bf

Aliases

arxiv: 2606.26052 · arxiv_version: 2606.26052v1 · doi: 10.48550/arxiv.2606.26052 · pith_short_12: 5DYMO5IL25N2 · pith_short_16: 5DYMO5IL25N2D5KY · pith_short_8: 5DYMO5IL

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/5DYMO5IL25N2D5KYEKQJKH3QUO \
  | 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: e8f0c7750bd75ba1f55822a0951f70a39c9cbbb9a0db89301d1d24564af5c9bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f2be87fe31417a5ce72f45838c711ff2cc00a8b186ce5c9524a8082ca791c4b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-24T17:30:14Z",
    "title_canon_sha256": "c2ddd10022289d7b58ffd2d6bd1d5e4861cb78940a1064803f067fd8c2a8608b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26052",
    "kind": "arxiv",
    "version": 1
  }
}