Pith Number

pith:ZVQYLCCP

pith:2014:ZVQYLCCPKCCALTAVVPXIJ4YMVA

not attested not anchored not stored refs pending

Hole probabilities of SU(m+1) Gaussian random polynomials

Junyan Zhu

arxiv:1404.0050 v1 · 2014-03-31 · math.CV · 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{ZVQYLCCPKCCALTAVVPXIJ4YMVA}

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	2026-05-18T01:22:24.129547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd6185884f508405cc15abee84f30ca82afaa5036d854ed10eaaa1a9fca36304

Aliases

arxiv: 1404.0050 · arxiv_version: 1404.0050v1 · doi: 10.48550/arxiv.1404.0050 · pith_short_12: ZVQYLCCPKCCA · pith_short_16: ZVQYLCCPKCCALTAV · pith_short_8: ZVQYLCCP

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/ZVQYLCCPKCCALTAVVPXIJ4YMVA \
  | 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: cd6185884f508405cc15abee84f30ca82afaa5036d854ed10eaaa1a9fca36304

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee6ad45010f1076fb206862ff438a1ef750be4e9c518df723206edba94518072",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-03-31T22:17:09Z",
    "title_canon_sha256": "f6cb18b965557ecc8e7b199a319eb8dd7e0fffd83b2aca55b7303b2a9697fa85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0050",
    "kind": "arxiv",
    "version": 1
  }
}