Pith Number

pith:ZWWF2IEO

pith:2015:ZWWF2IEOI4PV2HNWQPILT3BJZ5

not attested not anchored not stored refs pending

Pitt's inequalities and uncertainty principle for generalized Fourier transform

Dmitry Gorbachev, Sergey Tikhonov, Valery Ivanov

arxiv:1507.06445 v1 · 2015-07-23 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWWF2IEOI4PV2HNWQPILT3BJZ5}

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	2026-05-18T01:36:24.949330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdac5d208e471f5d1db683d0b9ec29cf790c37fc94bda29ca42332aee532eaac

Aliases

arxiv: 1507.06445 · arxiv_version: 1507.06445v1 · doi: 10.48550/arxiv.1507.06445 · pith_short_12: ZWWF2IEOI4PV · pith_short_16: ZWWF2IEOI4PV2HNW · pith_short_8: ZWWF2IEO

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/ZWWF2IEOI4PV2HNWQPILT3BJZ5 \
  | 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: cdac5d208e471f5d1db683d0b9ec29cf790c37fc94bda29ca42332aee532eaac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "818acf039594b92d7f213384948d7fa7f4034dbbd40ad2e0c1afd3013c0f8d83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-07-23T11:08:38Z",
    "title_canon_sha256": "5661f49760ff8b367341232d35a31b1268cfd26c9a587babdacc2ec243182890"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06445",
    "kind": "arxiv",
    "version": 1
  }
}