Pith Number

pith:ZRPCGFSS

pith:2021:ZRPCGFSS2EUN2CK6XCA4PTZYIX

not attested not anchored not stored refs pending

Injectivity of sampled Gabor phase retrieval in spaces with general integrability conditions

Matthias Wellershoff

arxiv:2112.10136 v4 · 2021-12-19 · 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{ZRPCGFSS2EUN2CK6XCA4PTZYIX}

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.

Cited by

1 paper in Pith

Sampling at twice the Nyquist rate in two frequency bins guarantees uniqueness in Gabor phase retrieval

Receipt and verification

First computed	2026-07-05T06:45:10.107773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc5e231652d128dd095eb881c7cf3845feee0186762f40049c8e3ad4dfc54d87

Aliases

arxiv: 2112.10136 · arxiv_version: 2112.10136v4 · doi: 10.48550/arxiv.2112.10136 · pith_short_12: ZRPCGFSS2EUN · pith_short_16: ZRPCGFSS2EUN2CK6 · pith_short_8: ZRPCGFSS

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/ZRPCGFSS2EUN2CK6XCA4PTZYIX \
  | 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: cc5e231652d128dd095eb881c7cf3845feee0186762f40049c8e3ad4dfc54d87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c21cfe02fb921a43bcd428dff6a0947a341831482040335a3089c9877e64a015",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-12-19T12:48:05Z",
    "title_canon_sha256": "3f228ec0df9086cd6457f3cd6b80af972ebeb832a198239277336fab513b2088"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.10136",
    "kind": "arxiv",
    "version": 4
  }
}