Pith Number

pith:ISJUMFQE

pith:2011:ISJUMFQE6V6VTSEYFEYDWSBE4I

not attested not anchored not stored refs pending

Semi-infinite Schubert varieties and quantum K-theory of flag manifolds

Alexander Braverman, Michael Finkelberg

arxiv:1111.2266 v5 · 2011-11-09 · math.AG · hep-th · math.QA · 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{ISJUMFQE6V6VTSEYFEYDWSBE4I}

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.

Receipt and verification

First computed	2026-05-18T00:29:02.153898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4493461604f57d59c89829303b4824e20aba704fa0db6990d0a65087a5a16ab9

Aliases

arxiv: 1111.2266 · arxiv_version: 1111.2266v5 · doi: 10.48550/arxiv.1111.2266 · pith_short_12: ISJUMFQE6V6V · pith_short_16: ISJUMFQE6V6VTSEY · pith_short_8: ISJUMFQE

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/ISJUMFQE6V6VTSEYFEYDWSBE4I \
  | 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: 4493461604f57d59c89829303b4824e20aba704fa0db6990d0a65087a5a16ab9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8a45f037cdfbe657d94aa448808fbe7014914849c33f78f048ad322ad21b6d8",
    "cross_cats_sorted": [
      "hep-th",
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-09T16:41:49Z",
    "title_canon_sha256": "54f4794fa46ee32135051c8098fbd10d4e2033061c4c5b26ca88590a42527241"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2266",
    "kind": "arxiv",
    "version": 5
  }
}