Pith Number

pith:ATYN3NA4

pith:2026:ATYN3NA4ULQ63NTUPBA42SPK6O

not attested not anchored not stored refs pending

A Local Valuation Criterion for Quadratic-Permutation Interleaved Zadoff--Chu Sequences

Yaoran Yang, Yutong Zhang

arxiv:2605.20947 v1 · 2026-05-20 · math.NT · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATYN3NA4ULQ63NTUPBA42SPK6O}

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	2026-05-21T01:05:29.327356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04f0ddb41ca2e1edb6747841cd49eaf3a4d0c33deb9b6cd903f806e5dad22c2c

Aliases

arxiv: 2605.20947 · arxiv_version: 2605.20947v1 · doi: 10.48550/arxiv.2605.20947 · pith_short_12: ATYN3NA4ULQ6 · pith_short_16: ATYN3NA4ULQ63NTU · pith_short_8: ATYN3NA4

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/ATYN3NA4ULQ63NTUPBA42SPK6O \
  | 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: 04f0ddb41ca2e1edb6747841cd49eaf3a4d0c33deb9b6cd903f806e5dad22c2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ac87192cceab2b228f8512159ee9997b2e42651fa3164ad3142dfa157ebf5f1",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-20T09:34:07Z",
    "title_canon_sha256": "c0b01728ed26f5a0725e3946b6a59d62de661e6931afedcdcd20e4c93994f0f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20947",
    "kind": "arxiv",
    "version": 1
  }
}