Pith Number

pith:KYCVGZ6I

pith:1993:KYCVGZ6IY4QG7ARFKD42XDY6MK

not attested not anchored not stored refs pending

Quantum cohomology of flag manifolds and Toda lattices

Alexander Givental, Bumsig Kim

arxiv:hep-th/9312096 v1 · 1993-12-13 · 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{KYCVGZ6IY4QG7ARFKD42XDY6MK}

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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

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

Receipt and verification

First computed	2026-07-04T15:56:22.151726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56055367c8c7206f822550f9ab8f1e629f4e3a1276ab33f30a3dc0baf00cc9e0

Aliases

arxiv: hep-th/9312096 · arxiv_version: hep-th/9312096v1 · doi: 10.48550/arxiv.hep-th/9312096 · pith_short_12: KYCVGZ6IY4QG · pith_short_16: KYCVGZ6IY4QG7ARF · pith_short_8: KYCVGZ6I

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/KYCVGZ6IY4QG7ARFKD42XDY6MK \
  | 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: 56055367c8c7206f822550f9ab8f1e629f4e3a1276ab33f30a3dc0baf00cc9e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b298098051a5d9919eb54275b32fd59a9e48081df5f7d9cac4631dc1c97bf9c0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-12-13T07:58:59Z",
    "title_canon_sha256": "33dd54e623d7a61bb00876e364e0451a2b777298764857c54cc0a9f22af80684"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9312096",
    "kind": "arxiv",
    "version": 1
  }
}