Pith Number

pith:IRFGLTYM

pith:2019:IRFGLTYMQEWQI34ORJPTMWBX2U

not attested not anchored not stored refs pending

New Kloosterman sum identities from the Helleseth-Zinoviev result on $ Z_{4}$-linear Goethals codes

Minglong Qi, Shengwu Xiong

arxiv:1904.07330 v1 · 2019-04-02 · math.NT · cs.CR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IRFGLTYMQEWQI34ORJPTMWBX2U}

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	2026-05-17T23:48:28.929220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

444a65cf0c812d046f8e8a5f365837d518dba96102a74fa79ecf16fd7a2969f2

Aliases

arxiv: 1904.07330 · arxiv_version: 1904.07330v1 · doi: 10.48550/arxiv.1904.07330 · pith_short_12: IRFGLTYMQEWQ · pith_short_16: IRFGLTYMQEWQI34O · pith_short_8: IRFGLTYM

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/IRFGLTYMQEWQI34ORJPTMWBX2U \
  | 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: 444a65cf0c812d046f8e8a5f365837d518dba96102a74fa79ecf16fd7a2969f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0027df25128e531ba2f51ea8971cec77131ab065dd724464c592833843c40127",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-04-02T01:19:36Z",
    "title_canon_sha256": "52ea30b204aef7f61512d0c6cf60fde6476855f1801fd34182213f2c341e504c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07330",
    "kind": "arxiv",
    "version": 1
  }
}