Pith Number

pith:A457AHWN

pith:2014:A457AHWNBQUSGCG2QUAJUWKLSZ

not attested not anchored not stored refs pending

Quantum and affine Schubert calculus and Macdonald polynomials

Avinash J. Dalal, Jennifer Morse

arxiv:1402.1464 v1 · 2014-02-06 · 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{A457AHWNBQUSGCG2QUAJUWKLSZ}

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	2026-05-18T02:59:49.058191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

073bf01ecd0c292308da85009a594b967140e830589795ec025aec912ebcf234

Aliases

arxiv: 1402.1464 · arxiv_version: 1402.1464v1 · doi: 10.48550/arxiv.1402.1464 · pith_short_12: A457AHWNBQUS · pith_short_16: A457AHWNBQUSGCG2 · pith_short_8: A457AHWN

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/A457AHWNBQUSGCG2QUAJUWKLSZ \
  | 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: 073bf01ecd0c292308da85009a594b967140e830589795ec025aec912ebcf234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "406068e1aa3b94e5b6e46439b41763d6cde946b0004355fc91f520a34c63178e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-06T19:36:24Z",
    "title_canon_sha256": "2e59aebb1d7ff6537d76c412425ee2ab29ae51faaed19768f3c0eef55996e66a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1464",
    "kind": "arxiv",
    "version": 1
  }
}