Pith Number

pith:M322RYKA

pith:2015:M322RYKAYDP4LIIAXHZWX5SAZJ

not attested not anchored not stored refs pending

Degeneracy Loci Classes in $K$-theory - Determinantal and Pfaffian Formula -

Hiroshi Naruse, Takeshi Ikeda, Thomas Hudson, Tomoo Matsumura

arxiv:1504.02828 v3 · 2015-04-11 · math.AG · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M322RYKAYDP4LIIAXHZWX5SAZJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:04:42.201598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66f5a8e140c0dfc5a100b9f36bf640ca51fd6bd5fbe5570845cdba497d0f444f

Aliases

arxiv: 1504.02828 · arxiv_version: 1504.02828v3 · doi: 10.48550/arxiv.1504.02828 · pith_short_12: M322RYKAYDP4 · pith_short_16: M322RYKAYDP4LIIA · pith_short_8: M322RYKA

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/M322RYKAYDP4LIIAXHZWX5SAZJ \
  | 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: 66f5a8e140c0dfc5a100b9f36bf640ca51fd6bd5fbe5570845cdba497d0f444f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b993cc457c5e92f664b148a0cde3a20a0b0a33adc92db12066c4f457563fe1ec",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-11T03:41:29Z",
    "title_canon_sha256": "85b7e809ea93c47ff1a671d6f9ef7cdf44288b38b731ab79ec11e57ceb49243e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02828",
    "kind": "arxiv",
    "version": 3
  }
}