Pith Number

pith:PWPSRFRJ

pith:2012:PWPSRFRJOSVDFG2AWLQN3HY7ZD

not attested not anchored not stored refs pending

Wronskian type determinants of orthogonal polynomials, Selberg type formulas and constant term identities

Antonio J. Dur\'an

arxiv:1207.4331 v2 · 2012-07-18 · 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{PWPSRFRJOSVDFG2AWLQN3HY7ZD}

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	2026-05-18T03:34:35.436202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d9f28962974aa329b40b2e0dd9f1fc8e2678b01d7c3685da9341096b15ab0dd

Aliases

arxiv: 1207.4331 · arxiv_version: 1207.4331v2 · doi: 10.48550/arxiv.1207.4331 · pith_short_12: PWPSRFRJOSVD · pith_short_16: PWPSRFRJOSVDFG2A · pith_short_8: PWPSRFRJ

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/PWPSRFRJOSVDFG2AWLQN3HY7ZD \
  | 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: 7d9f28962974aa329b40b2e0dd9f1fc8e2678b01d7c3685da9341096b15ab0dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7236fe84768f5757687d057a0dc617624dd7d3e9177b2543a92b1e0ee226d346",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-07-18T10:40:16Z",
    "title_canon_sha256": "989fb5dedc3604f51715983269886bc287bcea0a54e6306d8f119fa3c5619394"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4331",
    "kind": "arxiv",
    "version": 2
  }
}