Pith Number

pith:FXTGIHWY

pith:2026:FXTGIHWYKJMJZBLJ2SVLQC7YKK

not attested not anchored not stored refs pending

An independent proof of the plunge-region conjecture for time-frequency localization operators in dimension one

Ahmadreza Azimifard

arxiv:2607.23016 v1 · 2026-07-25 · math.FA · math.CA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FXTGIHWYKJMJZBLJ2SVLQC7YKK}

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	2026-07-28T00:22:07.700798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2de6641ed852589c8569d4aab80bf852a0210df67c9097bdd1bce3d96bd7f2fa

Aliases

arxiv: 2607.23016 · arxiv_version: 2607.23016v1 · doi: 10.48550/arxiv.2607.23016 · pith_short_12: FXTGIHWYKJMJ · pith_short_16: FXTGIHWYKJMJZBLJ · pith_short_8: FXTGIHWY

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/FXTGIHWYKJMJZBLJ2SVLQC7YKK \
  | 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: 2de6641ed852589c8569d4aab80bf852a0210df67c9097bdd1bce3d96bd7f2fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b742182e8c41c363357224e2706a583a801fa0c2daaf5a43981097297d5dbabf",
    "cross_cats_sorted": [
      "math.CA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-07-25T03:17:05Z",
    "title_canon_sha256": "cbffde0b2f983eb80a8393ce1498e2679aeac7dc28515c3f2a82ec1239dad377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23016",
    "kind": "arxiv",
    "version": 1
  }
}