Pith Number

pith:E4YGVJR3

pith:2009:E4YGVJR3QQLG5XHUFABDHKIGJE

not attested not anchored not stored refs pending

Orthogonal polynomials associated to a certain fourth order differential equation

Gen Mano, Jan M\"ollers, Joachim Hilgert, Toshiyuki Kobayashi

arxiv:0907.2612 v2 · 2009-07-15 · math.CA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4YGVJR3QQLG5XHUFABDHKIGJE}

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	2026-05-18T02:56:11.949927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27306aa63b84166edcf4280233a9064934e986def9631ea5cd6263cd43bfaef0

Aliases

arxiv: 0907.2612 · arxiv_version: 0907.2612v2 · doi: 10.48550/arxiv.0907.2612 · pith_short_12: E4YGVJR3QQLG · pith_short_16: E4YGVJR3QQLG5XHU · pith_short_8: E4YGVJR3

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/E4YGVJR3QQLG5XHUFABDHKIGJE \
  | 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: 27306aa63b84166edcf4280233a9064934e986def9631ea5cd6263cd43bfaef0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df856968ab88414f3efb2724e27a1c773bf7205ae27ec4a6374d455846113399",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-07-15T15:06:32Z",
    "title_canon_sha256": "7674ebd46b15fedd8c2b7402257d6be9a232fd3d3d04b52a320c7dcf43728cf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2612",
    "kind": "arxiv",
    "version": 2
  }
}