Pith Number

pith:B6YKHENE

pith:2015:B6YKHENEEP6FY4TOAKCHQGSL2H

not attested not anchored not stored refs pending

Expected number of real zeros for random orthogonal polynomials

Doron S. Lubinsky, Igor E. Pritsker, Xiaoju Xie

arxiv:1507.01258 v1 · 2015-07-05 · 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{B6YKHENEEP6FY4TOAKCHQGSL2H}

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	2026-05-18T01:37:17.575644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fb0a391a423fc5c726e0284781a4bd1d29320b9363906a410be761fcb3546d2

Aliases

arxiv: 1507.01258 · arxiv_version: 1507.01258v1 · doi: 10.48550/arxiv.1507.01258 · pith_short_12: B6YKHENEEP6F · pith_short_16: B6YKHENEEP6FY4TO · pith_short_8: B6YKHENE

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/B6YKHENEEP6FY4TOAKCHQGSL2H \
  | 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: 0fb0a391a423fc5c726e0284781a4bd1d29320b9363906a410be761fcb3546d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64db21a5b0581e8c0d34621d0a7c0a4a003819d6c9d4ea7ecb1513e027584263",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-05T19:09:50Z",
    "title_canon_sha256": "96be380f191d30e15375576367032bf30d25de20196d3e34717b29021e403c13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01258",
    "kind": "arxiv",
    "version": 1
  }
}