Pith Number

pith:PNZ7YK6C

pith:2022:PNZ7YK6C6KHVZ3ELYISGFX4RN5

not attested not anchored not stored refs pending

Quantum K theory of Grassmannians, Wilson line operators, and Schur bundles

Eric Sharpe, Hao Zou, Leonardo C. Mihalcea, Wei Gu

arxiv:2208.01091 v3 · 2022-08-01 · math.AG · hep-th · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNZ7YK6C6KHVZ3ELYISGFX4RN5}

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

4 papers in Pith

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

Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries

Schubert line defects in 3d GLSMs, part I: Complete flag manifolds and quantum Grothendieck polynomials

Schubert line defects in 3d GLSMs, part II: Partial flag manifolds and parabolic quantum polynomials

Receipt and verification

First computed	2026-07-05T12:04:24.632423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b73fc2bc2f28f5cec8bc22462df916f642c3edf2ac473b5643ab80d51b17e4a

Aliases

arxiv: 2208.01091 · arxiv_version: 2208.01091v3 · doi: 10.48550/arxiv.2208.01091 · pith_short_12: PNZ7YK6C6KHV · pith_short_16: PNZ7YK6C6KHVZ3EL · pith_short_8: PNZ7YK6C

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/PNZ7YK6C6KHVZ3ELYISGFX4RN5 \
  | 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: 7b73fc2bc2f28f5cec8bc22462df916f642c3edf2ac473b5643ab80d51b17e4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "097fdc7e6b624f4c7c87fd9a207d50ee3c4944504099ce7ca69620575fc587fe",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-08-01T18:44:53Z",
    "title_canon_sha256": "7bb7da134eedcda58a1005e10fdbdbe5b95c4ce62dd1788f2fdc33f6fec117e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.01091",
    "kind": "arxiv",
    "version": 3
  }
}