Pith Number

pith:H356US3R

pith:2023:H356US3RJI2BGTTMW5ARVNAZTH

not attested not anchored not stored refs pending

Counting (skew-)reciprocal Littlewood polynomials with square discriminant

David Hokken

arxiv:2301.05656 v2 · 2023-01-13 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H356US3RJI2BGTTMW5ARVNAZTH}

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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.

Cited by

1 paper in Pith

Law of large numbers for the discriminant of random polynomials

Receipt and verification

First computed	2026-07-05T11:18:56.507996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3efbea4b714a34134e6cb7411ab41999d1afe336db17ea282e840f42419476e5

Aliases

arxiv: 2301.05656 · arxiv_version: 2301.05656v2 · doi: 10.48550/arxiv.2301.05656 · pith_short_12: H356US3RJI2B · pith_short_16: H356US3RJI2BGTTM · pith_short_8: H356US3R

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/H356US3RJI2BGTTMW5ARVNAZTH \
  | 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: 3efbea4b714a34134e6cb7411ab41999d1afe336db17ea282e840f42419476e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbbb7b95b4e148f1eabf214cab195ca7f6b5ba36b99865e66d3cc5b8f53558b7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-01-13T16:53:38Z",
    "title_canon_sha256": "863dfcb61c67443fbcbdd99e555c07fe3b00419b8b4eb0b061ec1f17fc23c91a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.05656",
    "kind": "arxiv",
    "version": 2
  }
}