Pith Number

pith:2WAC5TFW

pith:2022:2WAC5TFWQWJVTZEDDDMEZ6N344

not attested not anchored not stored refs pending

On the connection between uniqueness from samples and stability in Gabor phase retrieval

Francesca Bartolucci, Matthias Wellershoff, Rima Alaifari, Stefan Steinerberger

arxiv:2205.07013 v3 · 2022-05-14 · 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{2WAC5TFWQWJVTZEDDDMEZ6N344}

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	2026-07-05T10:58:57.484064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5802eccb6859359e48318d84cf9bbe73fdbab4fa816cee330544d23b0286be7

Aliases

arxiv: 2205.07013 · arxiv_version: 2205.07013v3 · doi: 10.48550/arxiv.2205.07013 · pith_short_12: 2WAC5TFWQWJV · pith_short_16: 2WAC5TFWQWJVTZED · pith_short_8: 2WAC5TFW

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/2WAC5TFWQWJVTZEDDDMEZ6N344 \
  | 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: d5802eccb6859359e48318d84cf9bbe73fdbab4fa816cee330544d23b0286be7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1edd4a553f1e2b81606c9b4e249452e35427ab699b20d18937dc3b19e57a16cc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-05-14T09:06:33Z",
    "title_canon_sha256": "64a3c4f3733658f62509406609628ed22d87cd0184b4d3319195cbd6d7099d0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.07013",
    "kind": "arxiv",
    "version": 3
  }
}