Pith Number

pith:5DPSNLHG

pith:2016:5DPSNLHG6WUD4XBNIUOYEXNUI6

not attested not anchored not stored refs pending

Recurrence Relations of the Multi-Indexed Orthogonal Polynomials IV : closure relations and creation/annihilation operators

Satoru Odake

arxiv:1606.02836 v1 · 2016-06-09 · math-ph · hep-th · 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{5DPSNLHG6WUD4XBNIUOYEXNUI6}

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	2026-05-18T00:59:48.830540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8df26ace6f5a83e5c2d451d825db4478f1a8c1357bc93a7e55b3de05a8b0ce9

Aliases

arxiv: 1606.02836 · arxiv_version: 1606.02836v1 · doi: 10.48550/arxiv.1606.02836 · pith_short_12: 5DPSNLHG6WUD · pith_short_16: 5DPSNLHG6WUD4XBN · pith_short_8: 5DPSNLHG

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/5DPSNLHG6WUD4XBNIUOYEXNUI6 \
  | 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: e8df26ace6f5a83e5c2d451d825db4478f1a8c1357bc93a7e55b3de05a8b0ce9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bdfd65c129ad03b0cf304410632889b903fdccec26b8ef0ac0407bc4b05521a",
    "cross_cats_sorted": [
      "hep-th",
      "math.CA",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-06-09T06:57:00Z",
    "title_canon_sha256": "307b4d9520754bd810e6a84be27207797c89262b6cea68fd6cea64fd3712b491"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02836",
    "kind": "arxiv",
    "version": 1
  }
}