Pith Number

pith:LNILTKT4

pith:2018:LNILTKT47Z7T3WVSBMICOOJOAI

not attested not anchored not stored refs pending

Weil sums of binomials: properties, applications, and open problems

Daniel J. Katz

arxiv:1805.10452 v3 · 2018-05-26 · math.NT · cs.IT · math.CO · 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{LNILTKT47Z7T3WVSBMICOOJOAI}

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	2026-05-18T00:00:30.259576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b50b9aa7cfe7f3ddab20b1027392e022fdc48e8b9c18cf50ba0949f5df0d79c

Aliases

arxiv: 1805.10452 · arxiv_version: 1805.10452v3 · doi: 10.48550/arxiv.1805.10452 · pith_short_12: LNILTKT47Z7T · pith_short_16: LNILTKT47Z7T3WVS · pith_short_8: LNILTKT4

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/LNILTKT47Z7T3WVSBMICOOJOAI \
  | 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: 5b50b9aa7cfe7f3ddab20b1027392e022fdc48e8b9c18cf50ba0949f5df0d79c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7055c78b4d61771df8260ebe7da42ef3446e2c67ba9a6e1533a5e3ab0b2ffb2",
    "cross_cats_sorted": [
      "cs.IT",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-26T09:31:47Z",
    "title_canon_sha256": "682bde8019605228c21a563d1fcf7b8fa9a3398a7d3d7737f54f08bdd3937ee3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10452",
    "kind": "arxiv",
    "version": 3
  }
}