Pith Number

pith:4MVAUDTJ

pith:2014:4MVAUDTJSHLBXLTTT6WLEDO5YF

not attested not anchored not stored refs pending

Factorial P- and Q-Schur functions represent equivariant quantum Schubert classes

Hiroshi Naruse, Leonardo C. Mihalcea, Takeshi Ikeda

arxiv:1402.0892 v2 · 2014-02-04 · math.CO · 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{4MVAUDTJSHLBXLTTT6WLEDO5YF}

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

Schubert defects in Lagrangian Grassmannians

Receipt and verification

First computed	2026-07-05T04:10:49.263598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e32a0a0e6991d61bae739facb20dddc1594042c4f0b423826d2a61b9b697cfdc

Aliases

arxiv: 1402.0892 · arxiv_version: 1402.0892v2 · doi: 10.48550/arxiv.1402.0892 · pith_short_12: 4MVAUDTJSHLB · pith_short_16: 4MVAUDTJSHLBXLTT · pith_short_8: 4MVAUDTJ

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/4MVAUDTJSHLBXLTTT6WLEDO5YF \
  | 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: e32a0a0e6991d61bae739facb20dddc1594042c4f0b423826d2a61b9b697cfdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e6e32876783cebd297e945e0d457b0aab6f4d396b0ccff537520936c8f575d8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-04T21:47:37Z",
    "title_canon_sha256": "f260ff0b84b580522550c618b1fc67489ca80df8609977eb629f360cc0f46d99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0892",
    "kind": "arxiv",
    "version": 2
  }
}