Pith Number

pith:6ZYF33OW

pith:2019:6ZYF33OW2VDMO5YALOI3ARERXP

not attested not anchored not stored refs pending

Real zeros of random trigonometric polynomials with pairwise equal blocks of coefficients

Ali Pirhadi

arxiv:1905.13349 v1 · 2019-05-30 · math.CA · 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{6ZYF33OW2VDMO5YALOI3ARERXP}

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.

Cited by

1 paper in Pith

Real zeros of random cosine polynomials with palindromic blocks of coefficients

Receipt and verification

First computed	2026-07-04T23:59:07.558877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6705dedd6d546c777005b91b04491bbfb20f76f1ea1cf8e95ebc2f125b416db

Aliases

arxiv: 1905.13349 · arxiv_version: 1905.13349v1 · doi: 10.48550/arxiv.1905.13349 · pith_short_12: 6ZYF33OW2VDM · pith_short_16: 6ZYF33OW2VDMO5YA · pith_short_8: 6ZYF33OW

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/6ZYF33OW2VDMO5YALOI3ARERXP \
  | 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: f6705dedd6d546c777005b91b04491bbfb20f76f1ea1cf8e95ebc2f125b416db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d349e77b8ec0b47f6639c5dd4791a505068eba9f5a4bd19e50e5cf009af3236",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-05-30T23:10:23Z",
    "title_canon_sha256": "fadbe87d1a444a2eb7e63f23b2cb36d032a1e43766d9e2ca2ef030908ac62d26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.13349",
    "kind": "arxiv",
    "version": 1
  }
}