Pith Number

pith:HSLDCBB2

pith:2011:HSLDCBB2BNOWM46GHRWOICU7NI

not attested not anchored not stored refs pending

Proof of a Conjecture of Helleseth: Maximal Linear Recursive Sequences of Period $2^{2^n}-1$ Never Have Three-Valued Cross-Correlation

Daniel J. Katz

arxiv:1105.2291 v2 · 2011-05-11 · math.CO · 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{HSLDCBB2BNOWM46GHRWOICU7NI}

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	2026-05-18T04:10:08.770106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c9631043a0b5d6673c63c6ce40a9f6a060c39a4a078375d68180810fe7084a4

Aliases

arxiv: 1105.2291 · arxiv_version: 1105.2291v2 · doi: 10.48550/arxiv.1105.2291 · pith_short_12: HSLDCBB2BNOW · pith_short_16: HSLDCBB2BNOWM46G · pith_short_8: HSLDCBB2

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/HSLDCBB2BNOWM46GHRWOICU7NI \
  | 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: 3c9631043a0b5d6673c63c6ce40a9f6a060c39a4a078375d68180810fe7084a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7a27c9ea97f85a6395fb982aba0f8841713cc6373945faf78083a5dd9622108",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-11T19:57:41Z",
    "title_canon_sha256": "f314ef0ab8c75ac9ccc706195c69a48a24c17189c8c5ad940483373f71761012"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2291",
    "kind": "arxiv",
    "version": 2
  }
}