Pith Number

pith:O3BBW4MT

pith:2017:O3BBW4MTBYKCCEHZLUQDDASND5

not attested not anchored not stored refs pending

Casoratian Identities for the Discrete Orthogonal Polynomials in Discrete Quantum Mechanics with Real Shifts

Satoru Odake

arxiv:1708.01830 v2 · 2017-08-06 · math-ph · math.CA · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O3BBW4MTBYKCCEHZLUQDDASND5}

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	2026-05-18T00:26:07.804302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76c21b71930e142110f95d2031824d1f71a125195953878597eab2db76518d54

Aliases

arxiv: 1708.01830 · arxiv_version: 1708.01830v2 · doi: 10.48550/arxiv.1708.01830 · pith_short_12: O3BBW4MTBYKC · pith_short_16: O3BBW4MTBYKCCEHZ · pith_short_8: O3BBW4MT

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/O3BBW4MTBYKCCEHZLUQDDASND5 \
  | 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: 76c21b71930e142110f95d2031824d1f71a125195953878597eab2db76518d54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22171eef4e0b12c440b37bfb087689f139e66ae2a70579aa90b67bf6a722a12d",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-08-06T01:29:57Z",
    "title_canon_sha256": "79c7dae0118aa4af24d552f990c17fc997e75fe238887fa001c1a35dfb1ab578"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01830",
    "kind": "arxiv",
    "version": 2
  }
}