Pith Number

pith:XQDN2HAZ

pith:2019:XQDN2HAZF4ZKIHTDYRF6BVZZW6

not attested not anchored not stored refs pending

Real roots of random polynomials with coefficients of polynomial growth: a comparison principle and applications

Yen Q. Do

arxiv:1905.02101 v2 · 2019-05-06 · 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{XQDN2HAZF4ZKIHTDYRF6BVZZW6}

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	2026-07-05T03:22:31.177068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc06dd1c192f32a41e63c44be0d739b79ad7278687c09eb7dd08332a36160f95

Aliases

arxiv: 1905.02101 · arxiv_version: 1905.02101v2 · doi: 10.48550/arxiv.1905.02101 · pith_short_12: XQDN2HAZF4ZK · pith_short_16: XQDN2HAZF4ZKIHTD · pith_short_8: XQDN2HAZ

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/XQDN2HAZF4ZKIHTDYRF6BVZZW6 \
  | 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: bc06dd1c192f32a41e63c44be0d739b79ad7278687c09eb7dd08332a36160f95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "505056ea2c582f4eba420b0352175021f242473f63fe766605ebbb426e5fa08d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-06T15:31:06Z",
    "title_canon_sha256": "2291aba1d5352c725e4eb5d31394de36ca4019230ae273d54a2670933d493f76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02101",
    "kind": "arxiv",
    "version": 2
  }
}