Pith Number

pith:HVI3R25Q

pith:2022:HVI3R25QZSPEMVE6NSS7SVQ5TE

not attested not anchored not stored refs pending

Canonical bases and new applications of increasing and decreasing subsequences to invariant theory

C. Bowman, S. Doty, S. Martin

arxiv:2206.12001 v4 · 2022-06-23 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HVI3R25QZSPEMVE6NSS7SVQ5TE}

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

Rook sums in the symmetric group algebra

Receipt and verification

First computed	2026-07-05T08:33:27.917856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d51b8ebb0cc9e46549e6ca5f9561d993db3f41bc9c1e6ffd86016a6a47cff90

Aliases

arxiv: 2206.12001 · arxiv_version: 2206.12001v4 · doi: 10.48550/arxiv.2206.12001 · pith_short_12: HVI3R25QZSPE · pith_short_16: HVI3R25QZSPEMVE6 · pith_short_8: HVI3R25Q

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/HVI3R25QZSPEMVE6NSS7SVQ5TE \
  | 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: 3d51b8ebb0cc9e46549e6ca5f9561d993db3f41bc9c1e6ffd86016a6a47cff90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d2679b4bc15ae4c5fc2927f0ca4d89a9bd7abf65982b1e6d492a4b7edc13939",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2022-06-23T22:30:56Z",
    "title_canon_sha256": "68e1ffeac472c23a47650ef7786a97d8328abc4825afe26e6b86b1d980ac10b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.12001",
    "kind": "arxiv",
    "version": 4
  }
}