Pith Number

pith:PJCVZ22D

pith:2023:PJCVZ22DZUYNS7E4B7FAPKNEPZ

not attested not anchored not stored refs pending

A presentation of the torus-equivariant quantum $K$-theory ring of flag manifolds of type $A$, Part I: the defining ideal

Daisuke Sagaki, Satoshi Naito, Toshiaki Maeno

arxiv:2302.09485 v4 · 2023-02-19 · math.QA · math.AG · math.CO · math.KT · math.RT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJCVZ22DZUYNS7E4B7FAPKNEPZ}

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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

On the Schubert calculus of the quantum K-theory for partial flag manifolds: a 3d A-model perspective

Receipt and verification

First computed	2026-07-05T07:11:53.751656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a455ceb43cd30d97c9c0fca07a9a47e50d4c193b02ce39057d01915351475fe

Aliases

arxiv: 2302.09485 · arxiv_version: 2302.09485v4 · doi: 10.48550/arxiv.2302.09485 · pith_short_12: PJCVZ22DZUYN · pith_short_16: PJCVZ22DZUYNS7E4 · pith_short_8: PJCVZ22D

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/PJCVZ22DZUYNS7E4B7FAPKNEPZ \
  | 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: 7a455ceb43cd30d97c9c0fca07a9a47e50d4c193b02ce39057d01915351475fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "515bc87975430da379c7c990bc0d635019d67fafa5c4dff87496656d686ee823",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO",
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2023-02-19T05:45:08Z",
    "title_canon_sha256": "6acb5075d113eb830e113f12925ae5413a984969d1566e2ef21e8d2440524564"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.09485",
    "kind": "arxiv",
    "version": 4
  }
}