Pith Number

pith:AUJUCKMT

pith:2016:AUJUCKMTK4ST7RVRLAO3NRGH6F

not attested not anchored not stored refs pending

On the number of distinct quadratic fields generated by the Shanks sequence

Igor E. Shparlinski, William D. Banks

arxiv:1602.06473 v1 · 2016-02-20 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUJUCKMTK4ST7RVRLAO3NRGH6F}

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	2026-05-18T01:20:13.893065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

051341299357253fc6b1581db6c4c7f1513044270435081852ad344abb62f052

Aliases

arxiv: 1602.06473 · arxiv_version: 1602.06473v1 · doi: 10.48550/arxiv.1602.06473 · pith_short_12: AUJUCKMTK4ST · pith_short_16: AUJUCKMTK4ST7RVR · pith_short_8: AUJUCKMT

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/AUJUCKMTK4ST7RVRLAO3NRGH6F \
  | 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: 051341299357253fc6b1581db6c4c7f1513044270435081852ad344abb62f052

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5bb1939954354e537688497dcf2df71c74f413a790eab5c70f258e5e6a207b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-20T22:58:21Z",
    "title_canon_sha256": "3ff04a01e69949ecf38b4cc9d79bb32e04d2e9296010fd663caa4ed9259178a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06473",
    "kind": "arxiv",
    "version": 1
  }
}