Pith Number

pith:GKQFIUJQ

pith:2022:GKQFIUJQKWV3BGIGJIKB2757UL

not attested not anchored not stored refs pending

Injectivity conditions for STFT phase retrieval on $\mathbb{Z}$, $\mathbb{Z}_d$ and $\mathbb{R}^d$

David Bartusel

arxiv:2206.06729 v1 · 2022-06-14 · 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{GKQFIUJQKWV3BGIGJIKB2757UL}

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	2026-07-05T04:31:45.215438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a054513055abb099064a141d7fbfa2fa09ded6f458d0401518eba7d12fb65c

Aliases

arxiv: 2206.06729 · arxiv_version: 2206.06729v1 · doi: 10.48550/arxiv.2206.06729 · pith_short_12: GKQFIUJQKWV3 · pith_short_16: GKQFIUJQKWV3BGIG · pith_short_8: GKQFIUJQ

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/GKQFIUJQKWV3BGIGJIKB2757UL \
  | 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: 32a054513055abb099064a141d7fbfa2fa09ded6f458d0401518eba7d12fb65c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "594b313ffe330a49abd5d44cce3946900b072973f8a534280cdee995b460a1a5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-06-14T10:25:48Z",
    "title_canon_sha256": "a160bc2bacd5a366bb5d77d282bac8f5cbcff4b8f4454ca48f4b30864333203b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.06729",
    "kind": "arxiv",
    "version": 1
  }
}