Pith Number

pith:BYBOG445

pith:2026:BYBOG4456Z7HIDB7DVTREZMVZM

not attested not anchored not stored refs pending

On a fundamental barrier of the Wirtinger criterion for Gabor systems with odd functions

Markus Faulhuber

arxiv:2605.26709 v1 · 2026-05-26 · math.CA · 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{BYBOG4456Z7HIDB7DVTREZMVZM}

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	2026-05-27T01:06:08.622638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e02e3739df67e740c3f1d67126595cb29155794762c2645d46ef0345f67e839

Aliases

arxiv: 2605.26709 · arxiv_version: 2605.26709v1 · doi: 10.48550/arxiv.2605.26709 · pith_short_12: BYBOG4456Z7H · pith_short_16: BYBOG4456Z7HIDB7 · pith_short_8: BYBOG445

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/BYBOG4456Z7HIDB7DVTREZMVZM \
  | 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: 0e02e3739df67e740c3f1d67126595cb29155794762c2645d46ef0345f67e839

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2526ac4a809b6b867b5c20621f4c64e30c3c7da5228da170aac0c1f7f31bdb22",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-05-26T08:50:49Z",
    "title_canon_sha256": "ce499c0ce4a6a0b5ccdc76343162cc9e63148d149e239cfd5c747cab60b05914"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26709",
    "kind": "arxiv",
    "version": 1
  }
}