Pith Number

pith:2ZFWAKK6

pith:1996:2ZFWAKK6W4QIOUM7HS3EH2V3CR

not attested not anchored not stored refs pending

Quantum double Schubert polynomials, quantum Schubert polynomials and Vafa-Intriligator formula

Anatol N. Kirillov, Toshiaki Maeno

arxiv:q-alg/9610022 v3 · 1996-10-17 · q-alg · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZFWAKK6W4QIOUM7HS3EH2V3CR}

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

2 papers in Pith

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	2026-07-04T15:07:57.008663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d64b60295eb72087519f3cb643eabb144f0a4d28126b5d8735664d67a5328b62

Aliases

arxiv: q-alg/9610022 · arxiv_version: q-alg/9610022v3 · doi: 10.48550/arxiv.q-alg/9610022 · pith_short_12: 2ZFWAKK6W4QI · pith_short_16: 2ZFWAKK6W4QIOUM7 · pith_short_8: 2ZFWAKK6

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/2ZFWAKK6W4QIOUM7HS3EH2V3CR \
  | 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: d64b60295eb72087519f3cb643eabb144f0a4d28126b5d8735664d67a5328b62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cc1e765b21de23f3727b8ca6f90b526cecc3b30333f563c367aee6b34567b60",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1996-10-17T06:37:42Z",
    "title_canon_sha256": "e8d68487d8268a65fa7447ab85893d69c4f14b30103435f012e062812b4aadfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9610022",
    "kind": "arxiv",
    "version": 3
  }
}