pith. sign in
Pith Number

pith:EJP3PZTV

pith:2026:EJP3PZTVNMBPX355LCK4OXG6LW
not attested not anchored not stored refs pending

The uncertainty principles of random signals related to the linear canonical transform

Bing-Zhao Li, Jia-Yin Peng

arxiv:2606.06549 v1 · 2026-06-04 · math.GM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EJP3PZTVNMBPX355LCK4OXG6LW}

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 2026-06-08T00:03:42.066768Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

225fb7e6756b02fbefbd5895c75cde5daf8016f0949a2ab6caee95f8810c46e8

Aliases

arxiv: 2606.06549 · arxiv_version: 2606.06549v1 · doi: 10.48550/arxiv.2606.06549 · pith_short_12: EJP3PZTVNMBP · pith_short_16: EJP3PZTVNMBPX355 · pith_short_8: EJP3PZTV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EJP3PZTVNMBPX355LCK4OXG6LW \
  | 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: 225fb7e6756b02fbefbd5895c75cde5daf8016f0949a2ab6caee95f8810c46e8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d15e212ff824abe64d704ca67571dfe2769d4cc83ab41cb08718d348b5839b95",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2026-06-04T08:10:38Z",
    "title_canon_sha256": "7309e3b7d330690088f24686de837ef958da0a55cbc0523ce2b11fbd946570cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06549",
    "kind": "arxiv",
    "version": 1
  }
}