Pith Number

pith:LZNLPMYC

pith:2021:LZNLPMYCJADKD5EVI7RLQUK37A

not attested not anchored not stored refs pending

Macdonald Duality and the proof of the Quantum Q-system conjecture

Philippe Di Francesco, Rinat Kedem

arxiv:2112.09798 v2 · 2021-12-17 · math.QA · math-ph · math.CO · 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{LZNLPMYCJADKD5EVI7RLQUK37A}

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

Integrable systems inspired by DAHA and DIM algebra: type $C^\vee C$ versus type $A$

Receipt and verification

First computed	2026-07-05T06:50:51.059442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e5ab7b3024806a1f49547e2b8515bf831bed1b710717268c954b19224d60d12

Aliases

arxiv: 2112.09798 · arxiv_version: 2112.09798v2 · doi: 10.48550/arxiv.2112.09798 · pith_short_12: LZNLPMYCJADK · pith_short_16: LZNLPMYCJADKD5EV · pith_short_8: LZNLPMYC

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/LZNLPMYCJADKD5EVI7RLQUK37A \
  | 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: 5e5ab7b3024806a1f49547e2b8515bf831bed1b710717268c954b19224d60d12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f8c9069d3c2d7e15e81b425430326d212bd1cfac253feafdd7375812b4dda3a",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2021-12-17T22:39:22Z",
    "title_canon_sha256": "0656dbc3cbd11c02923f1aa4a701abd58e0d05d10521bd860ef74ed53bf6b3e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.09798",
    "kind": "arxiv",
    "version": 2
  }
}