Pith Number

pith:NY65D33O

pith:2011:NY65D33O7AFOX4RHGQAGYT7XAZ

not attested not anchored not stored refs pending

Exactly Solvable Quantum Mechanics and Infinite Families of Multi-indexed Orthogonal Polynomials

Ryu Sasaki, Satoru Odake

arxiv:1105.0508 v2 · 2011-05-03 · math-ph · hep-th · math.CA · math.MP · nlin.SI · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NY65D33O7AFOX4RHGQAGYT7XAZ}

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	2026-05-18T02:02:09.841909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e3dd1ef6ef80aebf22734006c4ff7067a86308b51519e8dc539bb0cae35307e

Aliases

arxiv: 1105.0508 · arxiv_version: 1105.0508v2 · doi: 10.48550/arxiv.1105.0508 · pith_short_12: NY65D33O7AFO · pith_short_16: NY65D33O7AFOX4RH · pith_short_8: NY65D33O

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/NY65D33O7AFOX4RHGQAGYT7XAZ \
  | 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: 6e3dd1ef6ef80aebf22734006c4ff7067a86308b51519e8dc539bb0cae35307e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a724cd9f61962c31fafbd585cb459770f6100d8758ff47223ca16a1ebcf668ed",
    "cross_cats_sorted": [
      "hep-th",
      "math.CA",
      "math.MP",
      "nlin.SI",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-05-03T08:25:59Z",
    "title_canon_sha256": "6ba5a37f8f8888e3282fd60502002a263e162d316577801c74c0c776926365d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0508",
    "kind": "arxiv",
    "version": 2
  }
}