Pith Number

pith:65BUCOV6

pith:2019:65BUCOV62EUZNAIOGMY6IJF3HC

not attested not anchored not stored refs pending

On the Reducibility and the Lenticular Sets of Zeroes of Almost Newman Lacunary Polynomials

Denys Dutykh (LAMA), Jean-Louis Verger-Gaugry (LAMA)

arxiv:1902.09814 v1 · 2019-02-26 · math.NT · cs.NA · math.AG · math.NA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{65BUCOV62EUZNAIOGMY6IJF3HC}

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	2026-06-04T20:13:56.364766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f743413abed12996810e3331e424bb3882fce21f644a3ee19839e6faaf1370e8

Aliases

arxiv: 1902.09814 · arxiv_version: 1902.09814v1 · doi: 10.48550/arxiv.1902.09814 · pith_short_12: 65BUCOV62EUZ · pith_short_16: 65BUCOV62EUZNAIO · pith_short_8: 65BUCOV6

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/65BUCOV62EUZNAIOGMY6IJF3HC \
  | 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: f743413abed12996810e3331e424bb3882fce21f644a3ee19839e6faaf1370e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e177cb59bde643113f7676eb16d345f759ec06f4ece9214b8e683eb5a14b123",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AG",
      "math.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-02-26T09:16:28Z",
    "title_canon_sha256": "753bc033607a3045597b9f5debb3c1df9de19965541efc0326100f3c56b1a62e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.09814",
    "kind": "arxiv",
    "version": 1
  }
}