Pith Number

pith:3FI7LJZT

pith:2019:3FI7LJZTIYFKEXW6E5MVBEOIYJ

not attested not anchored not stored refs pending

Dragging the roots of a polynomial to the unit circle

Arnaldo Mandel, Sinai Robins

arxiv:1908.03208 v3 · 2019-08-08 · math.CO · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3FI7LJZTIYFKEXW6E5MVBEOIYJ}

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

Large finite products of small fractions

Receipt and verification

First computed	2026-07-05T00:05:45.838725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d951f5a733460aa25ede27595091c8c24a19464c5afcd5a5cf22acc284a94363

Aliases

arxiv: 1908.03208 · arxiv_version: 1908.03208v3 · doi: 10.48550/arxiv.1908.03208 · pith_short_12: 3FI7LJZTIYFK · pith_short_16: 3FI7LJZTIYFKEXW6 · pith_short_8: 3FI7LJZT

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/3FI7LJZTIYFKEXW6E5MVBEOIYJ \
  | 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: d951f5a733460aa25ede27595091c8c24a19464c5afcd5a5cf22acc284a94363

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "997b1ed51947eac4b6188391a632192140b36cbafed7823dd103de8a7e6cfdae",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-08T15:33:02Z",
    "title_canon_sha256": "d0975ea2981e366be7b5b4ea780843a8dbb768d002688b62a0f134ef78e17d03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03208",
    "kind": "arxiv",
    "version": 3
  }
}