Pith Number

pith:WELKTTTU

pith:2025:WELKTTTU2VKTQIZKKTXENMEPLV

not attested not anchored not stored refs pending

Quantum K-theory levels in physics and math

E. Sharpe, H. Zhang, I. Huq-Kuruvilla, L. Mihalcea

arxiv:2507.00116 v2 · 2025-06-30 · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WELKTTTU2VKTQIZKKTXENMEPLV}

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	2026-07-05T11:37:24.888245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b116a9ce74d55538232a54ee46b08f5d412ca7375cf99a30d8717b5fef08fca7

Aliases

arxiv: 2507.00116 · arxiv_version: 2507.00116v2 · doi: 10.48550/arxiv.2507.00116 · pith_short_12: WELKTTTU2VKT · pith_short_16: WELKTTTU2VKTQIZK · pith_short_8: WELKTTTU

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/WELKTTTU2VKTQIZKKTXENMEPLV \
  | 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: b116a9ce74d55538232a54ee46b08f5d412ca7375cf99a30d8717b5fef08fca7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1d4609bc9703addc842edfaa131b533c21eded11d3a7e96e46228509c3aac7f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-06-30T18:00:00Z",
    "title_canon_sha256": "2fd4d2a3f54812cb9f042dad717eb486415a51ad57185e586b8ebcba9c6796f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.00116",
    "kind": "arxiv",
    "version": 2
  }
}