Pith Number

pith:3NTSN4QX

pith:2013:3NTSN4QXQVLFDX2HU5P5VU34GT

not attested not anchored not stored refs pending

Cyclotomy of Weil Sums of Binomials

Daniel J. Katz, Philippe Langevin, Yves Aubry

arxiv:1312.3889 v7 · 2013-12-13 · 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{3NTSN4QXQVLFDX2HU5P5VU34GT}

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	2026-05-18T02:19:43.904418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db6726f217855651df47a75fdad37c34e9a9fe13a923154e7d0d78d7579c3468

Aliases

arxiv: 1312.3889 · arxiv_version: 1312.3889v7 · doi: 10.48550/arxiv.1312.3889 · pith_short_12: 3NTSN4QXQVLF · pith_short_16: 3NTSN4QXQVLFDX2H · pith_short_8: 3NTSN4QX

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/3NTSN4QXQVLFDX2HU5P5VU34GT \
  | 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: db6726f217855651df47a75fdad37c34e9a9fe13a923154e7d0d78d7579c3468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b37fedf58cd99f6707f65254d404932b512011a73ba3dee7f63d0e22bd99cf30",
    "cross_cats_sorted": [
      "cs.IT",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-13T17:52:32Z",
    "title_canon_sha256": "378874c8aabafc636d19350040d4279a412e50fc863a8fc120f95720691fddc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3889",
    "kind": "arxiv",
    "version": 7
  }
}