Pith Number

pith:UMUXKG5M

pith:2016:UMUXKG5MWQ7CMWAOLL3EF63HY6

not attested not anchored not stored refs pending

Invariant properties for Wronskian type determinants of classical and classical discrete orthogonal polynomials under an involution of sets of positive integers

Antonio J. Duran, Guillermo P. Curbera

arxiv:1612.07530 v1 · 2016-12-22 · 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{UMUXKG5MWQ7CMWAOLL3EF63HY6}

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	2026-05-18T00:54:09.832838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a329751bacb43e26580e5af642fb67c7955010a2cf5c00c3713e306cacf534ee

Aliases

arxiv: 1612.07530 · arxiv_version: 1612.07530v1 · doi: 10.48550/arxiv.1612.07530 · pith_short_12: UMUXKG5MWQ7C · pith_short_16: UMUXKG5MWQ7CMWAO · pith_short_8: UMUXKG5M

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/UMUXKG5MWQ7CMWAOLL3EF63HY6 \
  | 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: a329751bacb43e26580e5af642fb67c7955010a2cf5c00c3713e306cacf534ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e67aae6d5ce926725fafd7ff58607dd087e67577114eb10351473961aea487e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-22T10:37:22Z",
    "title_canon_sha256": "5d09c2eba62f8f3697045603ae09948a8504384b2d98f90c16f34129303e7d92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07530",
    "kind": "arxiv",
    "version": 1
  }
}