Pith Number

pith:YBZBOFS3

pith:2015:YBZBOFS34NTDFJYRAZ3HIZACCQ

not attested not anchored not stored refs pending

Exceptional Hahn and Jacobi orthogonal polynomials

Antonio J. Dur\'an

arxiv:1510.02579 v1 · 2015-10-09 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YBZBOFS34NTDFJYRAZ3HIZACCQ}

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	2026-05-18T01:30:42.033127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c07217165be36632a7110676746402141ca9b7baa733dfd2e9b613c10609f3fc

Aliases

arxiv: 1510.02579 · arxiv_version: 1510.02579v1 · doi: 10.48550/arxiv.1510.02579 · pith_short_12: YBZBOFS34NTD · pith_short_16: YBZBOFS34NTDFJYR · pith_short_8: YBZBOFS3

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/YBZBOFS34NTDFJYRAZ3HIZACCQ \
  | 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: c07217165be36632a7110676746402141ca9b7baa733dfd2e9b613c10609f3fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ad67f401f12ba250f71961e44e606b208f59b68593fdbcb7137fb4270719091",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-09T07:09:38Z",
    "title_canon_sha256": "9825e6ef54f566e67c4875f3e336612f692a38f8d90f28e359a0fad8fb2d089f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02579",
    "kind": "arxiv",
    "version": 1
  }
}