Pith Number

pith:BZHDFYDN

pith:2020:BZHDFYDNWYGYMFGMHEAREPSUUU

not attested not anchored not stored refs pending

Phase retrieval from sampled Gabor transform magnitudes: Counterexamples

Matthias Wellershoff, Rima Alaifari

arxiv:2010.01078 v3 · 2020-10-02 · 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{BZHDFYDNWYGYMFGMHEAREPSUUU}

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	2026-07-05T03:44:28.021004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e4e32e06db60d8614cc3901123e54a51fcef517dbd1fcc001d3922722e6a6d5

Aliases

arxiv: 2010.01078 · arxiv_version: 2010.01078v3 · doi: 10.48550/arxiv.2010.01078 · pith_short_12: BZHDFYDNWYGY · pith_short_16: BZHDFYDNWYGYMFGM · pith_short_8: BZHDFYDN

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/BZHDFYDNWYGYMFGMHEAREPSUUU \
  | 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: 0e4e32e06db60d8614cc3901123e54a51fcef517dbd1fcc001d3922722e6a6d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9f655e5f248d5040c657630542bcbee11b17c4faff88ccdbe1a081e97bf2b8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-10-02T16:18:19Z",
    "title_canon_sha256": "3362ffcbdda738d71ee5b93b96433f0386460707eec1520bbcbd78d498390675"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.01078",
    "kind": "arxiv",
    "version": 3
  }
}