Pith Number

pith:3GELWI6G

pith:2019:3GELWI6GPNG3QUCVST6W6AB2MF

not attested not anchored not stored refs pending

Quantum Q-systems and fermionic sums -- the non-simply laced case

Mingyan Simon Lin

arxiv:1903.11492 v3 · 2019-03-27 · math.QA · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3GELWI6GPNG3QUCVST6W6AB2MF}

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.

Cited by

1 paper in Pith

Macdonald operators and quantum Q-systems for classical types

Receipt and verification

First computed	2026-07-05T02:01:27.755773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d988bb23c67b4db8505594fd6f003a616f03ef31ed9a714123615ee4b2bd9d37

Aliases

arxiv: 1903.11492 · arxiv_version: 1903.11492v3 · doi: 10.48550/arxiv.1903.11492 · pith_short_12: 3GELWI6GPNG3 · pith_short_16: 3GELWI6GPNG3QUCV · pith_short_8: 3GELWI6G

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/3GELWI6GPNG3QUCVST6W6AB2MF \
  | 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: d988bb23c67b4db8505594fd6f003a616f03ef31ed9a714123615ee4b2bd9d37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60c7c9e8e6f927e5acc3943761b947f1a1bb23efa9fe5fae274aae8bb39ffaa3",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-03-27T15:34:30Z",
    "title_canon_sha256": "49571f17e3e9f8fe011ee670926865474b4ebe0635e4e33ddebd84244854f974"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.11492",
    "kind": "arxiv",
    "version": 3
  }
}