Pith Number

pith:FANNMLKC

pith:2001:FANNMLKCBIUUQEJ4IWQW6B6XUP

not attested not anchored not stored refs pending

Quantum K-theory on flag manifolds, finite-difference Toda lattices and quantum groups

Alexander Givental, Yuan-Pin Lee

arxiv:math/0108105 v1 · 2001-08-15 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FANNMLKCBIUUQEJ4IWQW6B6XUP}

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

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials

Receipt and verification

First computed	2026-07-04T14:35:28.692585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

281ad62d420a2948113c45a16f07d7a3d7155a55f3de17a0c8afc34469d8796b

Aliases

arxiv: math/0108105 · arxiv_version: math/0108105v1 · doi: 10.48550/arxiv.math/0108105 · pith_short_12: FANNMLKCBIUU · pith_short_16: FANNMLKCBIUUQEJ4 · pith_short_8: FANNMLKC

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/FANNMLKCBIUUQEJ4IWQW6B6XUP \
  | 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: 281ad62d420a2948113c45a16f07d7a3d7155a55f3de17a0c8afc34469d8796b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12329b756341d0b998763efe257b2c676d91459fded4053d4e9a59816cd74946",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-08-15T18:35:46Z",
    "title_canon_sha256": "39bdb4f33296feded3dfa88407191f5f0b6c2922908c053a3bea0b2ba515b9d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0108105",
    "kind": "arxiv",
    "version": 1
  }
}