Pith Number

pith:NIACIVR4

pith:2013:NIACIVR4JLOURDVFL44ALMUUWE

not attested not anchored not stored refs pending

Recurrence Relations of the Multi-Indexed Orthogonal Polynomials

Satoru Odake

arxiv:1303.5820 v2 · 2013-03-23 · 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{NIACIVR4JLOURDVFL44ALMUUWE}

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	2026-05-18T01:50:59.318879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a0024563c4add488ea55f3805b294b1115c4f73320f60b535903747ed95c2f5

Aliases

arxiv: 1303.5820 · arxiv_version: 1303.5820v2 · doi: 10.48550/arxiv.1303.5820 · pith_short_12: NIACIVR4JLOU · pith_short_16: NIACIVR4JLOURDVF · pith_short_8: NIACIVR4

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/NIACIVR4JLOURDVFL44ALMUUWE \
  | 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: 6a0024563c4add488ea55f3805b294b1115c4f73320f60b535903747ed95c2f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c011c7f5d025641b9b0ccfaf79d74c92180c8226c01c05d278b8a2996621678a",
    "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": "2013-03-23T06:07:45Z",
    "title_canon_sha256": "0fb52f3596a8de132bc1002f89dc104ff5028af5ec4cf4a1f956bcd0dfbca455"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5820",
    "kind": "arxiv",
    "version": 2
  }
}