Pith Number

pith:GTUK6T4X

pith:2017:GTUK6T4XMVXF5UGFJCGXUZFMPR

not attested not anchored not stored refs pending

(t,q) Q-systems, DAHA and quantum toroidal algebras via generalized Macdonald operators

Philippe Di Francesco, Rinat Kedem

arxiv:1704.00154 v2 · 2017-04-01 · math-ph · math.CO · math.MP · 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{GTUK6T4XMVXF5UGFJCGXUZFMPR}

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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

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems

Receipt and verification

First computed	2026-05-18T00:40:48.783954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34e8af4f97656e5ed0c5488d7a64ac7c4c13461242d51db146c860356a0103e4

Aliases

arxiv: 1704.00154 · arxiv_version: 1704.00154v2 · doi: 10.48550/arxiv.1704.00154 · pith_short_12: GTUK6T4XMVXF · pith_short_16: GTUK6T4XMVXF5UGF · pith_short_8: GTUK6T4X

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/GTUK6T4XMVXF5UGFJCGXUZFMPR \
  | 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: 34e8af4f97656e5ed0c5488d7a64ac7c4c13461242d51db146c860356a0103e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31344bedd67267076b584d05969bc22d10c1b1a154720a3bf4a71e11d35f583e",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-04-01T11:32:33Z",
    "title_canon_sha256": "6096abbdd582a71dc441b05e598ca85616b4d98a54fdcc78831d57d8e32b9d2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00154",
    "kind": "arxiv",
    "version": 2
  }
}