Pith Number

pith:WS3YHCZH

pith:2017:WS3YHCZHUH7VFD7XAGTPQN4VOG

not attested not anchored not stored refs pending

Zeros of exceptional orthogonal polynomials and the maximum of the modulus of an energy function

Yu Luo

arxiv:1707.05202 v1 · 2017-06-24 · math.CA · math-ph · 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{WS3YHCZHUH7VFD7XAGTPQN4VOG}

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	2026-05-18T00:40:09.204041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4b7838b27a1ff528ff701a6f8379571bca17ea974295c875d67c0996f0ff7a4

Aliases

arxiv: 1707.05202 · arxiv_version: 1707.05202v1 · doi: 10.48550/arxiv.1707.05202 · pith_short_12: WS3YHCZHUH7V · pith_short_16: WS3YHCZHUH7VFD7X · pith_short_8: WS3YHCZH

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/WS3YHCZHUH7VFD7XAGTPQN4VOG \
  | 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: b4b7838b27a1ff528ff701a6f8379571bca17ea974295c875d67c0996f0ff7a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "482c22c058fa564b1222de0ccc5d94c2a68b5e62d7bdbfc90fe8023e363fffb8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-06-24T13:19:58Z",
    "title_canon_sha256": "cb0dec13d64759d190de1090472b06918da16b05ccbe73fb2de3dacbba9ffc50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05202",
    "kind": "arxiv",
    "version": 1
  }
}