Pith Number

pith:QVB2NKAT

pith:2023:QVB2NKATNBPTPEB422PJQGEO35

not attested not anchored not stored refs pending

Uncovering the limits of uniqueness in sampled Gabor phase retrieval: A dense set of counterexamples in $L^2(\mathbb{R})$

Francesca Bartolucci, Matthias Wellershoff, Rima Alaifari

arxiv:2307.03940 v1 · 2023-07-08 · math.FA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVB2NKATNBPTPEB422PJQGEO35}

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	2026-07-05T10:58:57.999655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8543a6a813685f37903cd69e98188edf4b621007ec9c81afdc74451c165cc493

Aliases

arxiv: 2307.03940 · arxiv_version: 2307.03940v1 · doi: 10.48550/arxiv.2307.03940 · pith_short_12: QVB2NKATNBPT · pith_short_16: QVB2NKATNBPTPEB4 · pith_short_8: QVB2NKAT

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/QVB2NKATNBPTPEB422PJQGEO35 \
  | 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: 8543a6a813685f37903cd69e98188edf4b621007ec9c81afdc74451c165cc493

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aabbc8572816aeafbcd9ca1d67a3ade18119271a3f09416ac4a1f5a148af7956",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-07-08T09:17:05Z",
    "title_canon_sha256": "50deeb477c5bfdca105582d899436e8a784b58cf38a4169304da495e77fde047"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.03940",
    "kind": "arxiv",
    "version": 1
  }
}