Pith Number

pith:LRAWPZ3R

pith:2018:LRAWPZ3RXXKHVPUM6BXQPV26O4

not attested not anchored not stored refs pending

Ultradiscrete limit of the spectral polynomial of the $q$-Heun equation

Kentaro Kojima, Kouichi Takemura, Tsukasa Sato

arxiv:1811.11677 v2 · 2018-11-28 · math.CA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRAWPZ3RXXKHVPUM6BXQPV26O4}

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	2026-05-17T23:51:55.786190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c4167e771bdd47abe8cf06f07d75e77077cb81bc6c566050e7f1b0561221dac

Aliases

arxiv: 1811.11677 · arxiv_version: 1811.11677v2 · doi: 10.48550/arxiv.1811.11677 · pith_short_12: LRAWPZ3RXXKH · pith_short_16: LRAWPZ3RXXKHVPUM · pith_short_8: LRAWPZ3R

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/LRAWPZ3RXXKHVPUM6BXQPV26O4 \
  | 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: 5c4167e771bdd47abe8cf06f07d75e77077cb81bc6c566050e7f1b0561221dac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2a6066a136a2b0a4456655185babc27d02307c3bdefbc16a718b63e0229009e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-11-28T16:59:15Z",
    "title_canon_sha256": "2625e0e474c0b614989ffc1dba5f7ec88d55f500023a0a6f9d41e4440175250d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11677",
    "kind": "arxiv",
    "version": 2
  }
}