Pith Number

pith:XQ4YAZPF

pith:2016:XQ4YAZPF7CXL7TFLKM4NANOHLE

not attested not anchored not stored refs pending

Linear recurrence relations in $Q$-systems via lattice points in polyhedra

Chul-hee Lee

arxiv:1602.02347 v3 · 2016-02-07 · math.RT · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQ4YAZPF7CXL7TFLKM4NANOHLE}

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	2026-05-18T00:45:54.500685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc398065e5f8aebfccab5338d035c75911552b72059c6811f2e5e1c07d8327d8

Aliases

arxiv: 1602.02347 · arxiv_version: 1602.02347v3 · doi: 10.48550/arxiv.1602.02347 · pith_short_12: XQ4YAZPF7CXL · pith_short_16: XQ4YAZPF7CXL7TFL · pith_short_8: XQ4YAZPF

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/XQ4YAZPF7CXL7TFLKM4NANOHLE \
  | 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: bc398065e5f8aebfccab5338d035c75911552b72059c6811f2e5e1c07d8327d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fd1149fdd42ef173cc2b2648e5051bd75e7c7354f904ac30db1e3f8ab240db4",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-02-07T08:00:57Z",
    "title_canon_sha256": "ac497091c717d50f43680bb86980cfdcb51f6e9894dc22e33a0d982d5a6198f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02347",
    "kind": "arxiv",
    "version": 3
  }
}