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Pith Number

pith:ETEP7M72

pith:2016:ETEP7M72BVGPCV6DFOMMWFE223
not attested not anchored not stored refs pending

Correlations between real and complex zeros of a random polynomial

Denis Koleda, Dmitry Zaporozhets, Friedrich G\"otze

arxiv:1610.03610 v1 · 2016-10-12 · math.PR · math.CA · math.CV

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ETEP7M72BVGPCV6DFOMMWFE223}

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 2026-05-18T01:02:29.780203Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

24c8ffb3fa0d4cf157c32b98cb149ad6f8cd1d3cbf69e06f5420b66a2d971ab7

Aliases

arxiv: 1610.03610 · arxiv_version: 1610.03610v1 · doi: 10.48550/arxiv.1610.03610 · pith_short_12: ETEP7M72BVGP · pith_short_16: ETEP7M72BVGPCV6D · pith_short_8: ETEP7M72
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ETEP7M72BVGPCV6DFOMMWFE223 \
  | 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: 24c8ffb3fa0d4cf157c32b98cb149ad6f8cd1d3cbf69e06f5420b66a2d971ab7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7cb4ef061b41603a5aeb7823ae21cd9171f05d3093ed3e430f35f276369e4d45",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-12T06:37:07Z",
    "title_canon_sha256": "4c042f0fc2c454f6acacc40b565f6351d25c590f74a9c568163ad5cc743915fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03610",
    "kind": "arxiv",
    "version": 1
  }
}