Pith Number

pith:PG7GL46U

pith:2015:PG7GL46UUTC3K3XCUECIQTFEKO

not attested not anchored not stored refs pending

Bilinear equations and $q$-discrete Painlev\'e equations satisfied by variables and coefficients in cluster algebras

Naoto Okubo

arxiv:1505.03067 v1 · 2015-05-12 · 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{PG7GL46UUTC3K3XCUECIQTFEKO}

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	2026-05-18T01:34:22.900280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79be65f3d4a4c5b56ee2a104884ca45398e10935b8f4d1f77d6647829a34c522

Aliases

arxiv: 1505.03067 · arxiv_version: 1505.03067v1 · doi: 10.48550/arxiv.1505.03067 · pith_short_12: PG7GL46UUTC3 · pith_short_16: PG7GL46UUTC3K3XC · pith_short_8: PG7GL46U

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/PG7GL46UUTC3K3XCUECIQTFEKO \
  | 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: 79be65f3d4a4c5b56ee2a104884ca45398e10935b8f4d1f77d6647829a34c522

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d83fcf59dd62b5a9cfcddfd416de7abd6ef2666687572d6886b0f4296aa62743",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-05-12T15:45:40Z",
    "title_canon_sha256": "414aa78c35879c1450b080731c28997e1d6bfb182fc349ecbff75fb4cd46e02d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03067",
    "kind": "arxiv",
    "version": 1
  }
}