Pith Number

pith:NNWALOF5

pith:2010:NNWALOF5COBT6DC2GWMBZNQYMX

not attested not anchored not stored refs pending

New Class of Optimal Frequency-Hopping Sequences by Polynomial Residue Class Rings

Shaohui Sun, Wenping Ma

arxiv:1010.5291 v1 · 2010-10-26 · 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{NNWALOF5COBT6DC2GWMBZNQYMX}

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	2026-05-18T04:38:39.080590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b6c05b8bd13833f0c5a35981cb61865d3e7b2765c6ecb7d697dd0eb8ce98fba

Aliases

arxiv: 1010.5291 · arxiv_version: 1010.5291v1 · doi: 10.48550/arxiv.1010.5291 · pith_short_12: NNWALOF5COBT · pith_short_16: NNWALOF5COBT6DC2 · pith_short_8: NNWALOF5

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/NNWALOF5COBT6DC2GWMBZNQYMX \
  | 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: 6b6c05b8bd13833f0c5a35981cb61865d3e7b2765c6ecb7d697dd0eb8ce98fba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b28feaac4688fee318688090be98a4268a0c26ca111cfa811016950a236515f2",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-10-26T00:44:54Z",
    "title_canon_sha256": "e7d3aae93cb5e3acd177a439d94fa270b87a1f818b60c781ff430c1966b7044a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5291",
    "kind": "arxiv",
    "version": 1
  }
}