Pith Number

pith:KQCXV4CB

pith:2013:KQCXV4CBKCJ2VZLKM2D22H3CJT

not attested not anchored not stored refs pending

Exceptional orthogonal polynomials and generalized Schur polynomials

Yves Grandati

arxiv:1311.4530 v1 · 2013-11-18 · math-ph · math.CA · 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{KQCXV4CBKCJ2VZLKM2D22H3CJT}

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	2026-05-18T01:46:23.421140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54057af0415093aae56a6687ad1f624ceb5de4de9f34ac0f0942f1caee6f8c41

Aliases

arxiv: 1311.4530 · arxiv_version: 1311.4530v1 · doi: 10.48550/arxiv.1311.4530 · pith_short_12: KQCXV4CBKCJ2 · pith_short_16: KQCXV4CBKCJ2VZLK · pith_short_8: KQCXV4CB

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/KQCXV4CBKCJ2VZLKM2D22H3CJT \
  | 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: 54057af0415093aae56a6687ad1f624ceb5de4de9f34ac0f0942f1caee6f8c41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "994ad8b2f36b0f3021adb545b7969a9a6c9905f8a9b3a98dd39e50abbb612edd",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-18T20:44:26Z",
    "title_canon_sha256": "b08b856bcfbec3f0e65a0bfd6bcdc00c7bf9b098a6eedf449254b8c965c9c8d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4530",
    "kind": "arxiv",
    "version": 1
  }
}