Pith Number

pith:KD3ELXSN

pith:2019:KD3ELXSN7L3BJKBHQXL3Q6T62C

not attested not anchored not stored refs pending

Cubic Metric Reduction for Repetitive CAZAC Sequences in frequency domain

Juan Liu, Saijin Xie, Yajun Zhao

arxiv:1910.11184 v4 · 2019-10-21 · cs.IT · cs.PF · 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{KD3ELXSN7L3BJKBHQXL3Q6T62C}

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	2026-07-05T03:44:49.233419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50f645de4dfaf614a82785d7b87a7ed0ab30f8e68c1b0b5473fb25f62ed9908c

Aliases

arxiv: 1910.11184 · arxiv_version: 1910.11184v4 · doi: 10.48550/arxiv.1910.11184 · pith_short_12: KD3ELXSN7L3B · pith_short_16: KD3ELXSN7L3BJKBH · pith_short_8: KD3ELXSN

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/KD3ELXSN7L3BJKBHQXL3Q6T62C \
  | 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: 50f645de4dfaf614a82785d7b87a7ed0ab30f8e68c1b0b5473fb25f62ed9908c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9250a04cc86e6469c5fbcf9d4c34f721b8b8107582202a1bdd5d46200730646",
    "cross_cats_sorted": [
      "cs.PF",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-10-21T23:55:52Z",
    "title_canon_sha256": "5f5b48e5b54ddcc2b0d3d15237cbe2bc2eb4fc23d64f75edf424003e1aa744c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.11184",
    "kind": "arxiv",
    "version": 4
  }
}