Pith Number

pith:OKTOF3GA

pith:2019:OKTOF3GAPMRKHUC7IUPJ6VGS6O

not attested not anchored not stored refs pending

How to count the number of zeros that a polynomial has on the unit circle?

R. S. Vieira

arxiv:1902.04231 v2 · 2019-02-12 · math.CV · 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{OKTOF3GAPMRKHUC7IUPJ6VGS6O}

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

Dragging the roots of a polynomial to the unit circle

Receipt and verification

First computed	2026-07-05T01:34:48.168438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72a6e2ecc07b22a3d05f451e9f54d2f3ad0a500ded00a32b5e945d113eb69f1b

Aliases

arxiv: 1902.04231 · arxiv_version: 1902.04231v2 · doi: 10.48550/arxiv.1902.04231 · pith_short_12: OKTOF3GAPMRK · pith_short_16: OKTOF3GAPMRKHUC7 · pith_short_8: OKTOF3GA

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/OKTOF3GAPMRKHUC7IUPJ6VGS6O \
  | 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: 72a6e2ecc07b22a3d05f451e9f54d2f3ad0a500ded00a32b5e945d113eb69f1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98d7a20d5c40f8313a8cb68c94a467f3c66abd5c469e0a1cdfa533cb8597ab7f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-02-12T04:03:07Z",
    "title_canon_sha256": "2957c16951bc756f03d0f06095511bf24c8de84dd515374264af17be28448188"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04231",
    "kind": "arxiv",
    "version": 2
  }
}