Pith Number

pith:TBYJUFJ7

pith:2019:TBYJUFJ7PWNB5SNTON5UX7WFJO

not attested not anchored not stored refs pending

Convolution and correlation theorems for the windowed offset linear canonical transform

Bing-Zhao Li, Wen-Biao Gao

arxiv:1905.01835 v2 · 2019-05-06 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBYJUFJ7PWNB5SNTON5UX7WFJO}

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	2026-05-17T23:40:17.166482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98709a153f7d9a1ec9b3737b4bfec54b852e6920ccbfc1b406087bcdd952d032

Aliases

arxiv: 1905.01835 · arxiv_version: 1905.01835v2 · doi: 10.48550/arxiv.1905.01835 · pith_short_12: TBYJUFJ7PWNB · pith_short_16: TBYJUFJ7PWNB5SNT · pith_short_8: TBYJUFJ7

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/TBYJUFJ7PWNB5SNTON5UX7WFJO \
  | 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: 98709a153f7d9a1ec9b3737b4bfec54b852e6920ccbfc1b406087bcdd952d032

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db962218f8216490b645ece61cf94d07e6ffe38a14d5fe8f333d658cc4544491",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2019-05-06T06:33:00Z",
    "title_canon_sha256": "a10b8b8738ff9a7237bb9d5539332166362f3caf1a7253819846e47afd2e35fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.01835",
    "kind": "arxiv",
    "version": 2
  }
}