Pith Number

pith:DBF3NA5W

pith:2025:DBF3NA5W4FGVVA53GU7TFNIISG

not attested not anchored not stored refs pending

Hybrid Character Sums From Vectorial Dual-Bent Functions and Asymptotically Optimal Complex Codebooks With Small Alphabet Sizes

Chengju Li, Peng Wang, Ziling Heng

arxiv:2506.23198 v1 · 2025-06-29 · 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{DBF3NA5W4FGVVA53GU7TFNIISG}

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	2026-07-05T11:29:17.555645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

184bb683b6e14d5a83bb353f32b508919eb75e7be21988e3f35535bd063d08a4

Aliases

arxiv: 2506.23198 · arxiv_version: 2506.23198v1 · doi: 10.48550/arxiv.2506.23198 · pith_short_12: DBF3NA5W4FGV · pith_short_16: DBF3NA5W4FGVVA53 · pith_short_8: DBF3NA5W

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/DBF3NA5W4FGVVA53GU7TFNIISG \
  | 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: 184bb683b6e14d5a83bb353f32b508919eb75e7be21988e3f35535bd063d08a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b8b484ca87066851355f731da8fb5a7f5bb78fc659ab17dd65f9e620b842a6c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-06-29T12:04:01Z",
    "title_canon_sha256": "c9e2edcaea9fe7cdb58b5e459b9432855fa2085541c11e9f6a37ccbdacc66395"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23198",
    "kind": "arxiv",
    "version": 1
  }
}