Pith Number

pith:DA2XEG6H

pith:2008:DA2XEG6HF3HZIJGNXUHPHOFBTV

not attested not anchored not stored refs pending

An extended class of orthogonal polynomials defined by a Sturm-Liouville problem

David Gomez-Ullate, Niky Kamran, Robert Milson

arxiv:0807.3939 v2 · 2008-07-24 · 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{DA2XEG6HF3HZIJGNXUHPHOFBTV}

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	2026-05-18T03:20:36.061101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1835721bc72ecf9424cdbd0ef3b8a19d6b1bf72c5726c359d579a7646869eb03

Aliases

arxiv: 0807.3939 · arxiv_version: 0807.3939v2 · doi: 10.48550/arxiv.0807.3939 · pith_short_12: DA2XEG6HF3HZ · pith_short_16: DA2XEG6HF3HZIJGN · pith_short_8: DA2XEG6H

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/DA2XEG6HF3HZIJGNXUHPHOFBTV \
  | 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: 1835721bc72ecf9424cdbd0ef3b8a19d6b1bf72c5726c359d579a7646869eb03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c5c385244e6acb9f8de63ff1a5bab3979caf7878287315871fdb5aa57a3cc22",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-07-24T18:04:11Z",
    "title_canon_sha256": "6473d25b2b63f98e4a205976b352e0b19a4bddba20f20206956e09b7e77089e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.3939",
    "kind": "arxiv",
    "version": 2
  }
}