Pith Number

pith:UZWA6BUE

pith:2012:UZWA6BUEXBJSAOT2CL6SP2DO6Q

not attested not anchored not stored refs pending

Correlations and Pairing Between Zeros and Critical Points of Gaussian Random Polynomials

Boris Hanin

arxiv:1207.4734 v2 · 2012-07-19 · math.PR · math-ph · math.CV · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZWA6BUEXBJSAOT2CL6SP2DO6Q}

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	2026-05-18T01:23:45.719180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a66c0f0684b853203a7a12fd27e86ef43b1fa46fb8a9674e83f1fe07035d9f8d

Aliases

arxiv: 1207.4734 · arxiv_version: 1207.4734v2 · doi: 10.48550/arxiv.1207.4734 · pith_short_12: UZWA6BUEXBJS · pith_short_16: UZWA6BUEXBJSAOT2 · pith_short_8: UZWA6BUE

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/UZWA6BUEXBJSAOT2CL6SP2DO6Q \
  | 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: a66c0f0684b853203a7a12fd27e86ef43b1fa46fb8a9674e83f1fe07035d9f8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aa6a0724836f8742a2a35533468791c45abdd1c14da28d170c886413beee3a9",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-19T17:08:20Z",
    "title_canon_sha256": "ac5aa5a8199f6f7971a6ddc89ea23c81831cf3dc4f8550732201eba734142afb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4734",
    "kind": "arxiv",
    "version": 2
  }
}