Pith Number

pith:5H45RZ2U

pith:2018:5H45RZ2UZ3JESHFE3ESVRD4FLR

not attested not anchored not stored refs pending

Cohen class of time-frequency representations and operators: boundedness and uncertainty principles

Alessandro Oliaro, Evanthia Carypis, Paolo Boggiatto

arxiv:1801.03839 v1 · 2018-01-11 · 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{5H45RZ2UZ3JESHFE3ESVRD4FLR}

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	2026-05-18T00:26:13.382479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9f9d8e754ced2491ca4d925588f855c7c103953f15fa7a308cceb205520a699

Aliases

arxiv: 1801.03839 · arxiv_version: 1801.03839v1 · doi: 10.48550/arxiv.1801.03839 · pith_short_12: 5H45RZ2UZ3JE · pith_short_16: 5H45RZ2UZ3JESHFE · pith_short_8: 5H45RZ2U

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/5H45RZ2UZ3JESHFE3ESVRD4FLR \
  | 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: e9f9d8e754ced2491ca4d925588f855c7c103953f15fa7a308cceb205520a699

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e2646ff69e816e35fd40bfb20a68f3d80b308316df311d5426abbf37f2dacd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-01-11T16:00:14Z",
    "title_canon_sha256": "1e9aebb1a14fe8dde513b29a657edece00476bbbc3b808014c08d6c37d85ef9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03839",
    "kind": "arxiv",
    "version": 1
  }
}