Pith Number

pith:KGSWOMXP

pith:2016:KGSWOMXPJBNIFKDYQPBZGLYE6E

not attested not anchored not stored refs pending

Weyl group $q$-Kreweras numbers and cyclic sieving

Eric Sommers, Victor Reiner

arxiv:1605.09172 v2 · 2016-05-30 · 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{KGSWOMXPJBNIFKDYQPBZGLYE6E}

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	2026-05-18T00:59:24.952820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51a56732ef485a82a87883c3932f04f124ca446e3eb4116327aa273c96fe3aa0

Aliases

arxiv: 1605.09172 · arxiv_version: 1605.09172v2 · doi: 10.48550/arxiv.1605.09172 · pith_short_12: KGSWOMXPJBNI · pith_short_16: KGSWOMXPJBNIFKDY · pith_short_8: KGSWOMXP

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/KGSWOMXPJBNIFKDYQPBZGLYE6E \
  | 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: 51a56732ef485a82a87883c3932f04f124ca446e3eb4116327aa273c96fe3aa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91456641e511fcc785a033ade23b83f4ffaa9bfc803ca33422b2814002569989",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-05-30T10:55:49Z",
    "title_canon_sha256": "25a09d4a4f7c834866134cfccc9b84ce92f81634b2a1bf88c24250b26c39e296"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09172",
    "kind": "arxiv",
    "version": 2
  }
}