Pith Number

pith:RVSJAJDX

pith:2009:RVSJAJDXPCJYLOGMOIN3NRDKT2

not attested not anchored not stored refs pending

Cyclic sieving for generalised non-crossing partitions associated to complex reflection groups of exceptional type

Christian Krattenthaler (Universit\"at Wien), Thomas W. M\"uller (Queen Mary)

arxiv:1001.0028 v2 · 2009-12-30 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RVSJAJDXPCJYLOGMOIN3NRDKT2}

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	2026-05-18T03:11:24.368076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d64902477789385b8cc721bb6c46a9ea702ad620a9f02a6fa63d47629477c43

Aliases

arxiv: 1001.0028 · arxiv_version: 1001.0028v2 · doi: 10.48550/arxiv.1001.0028 · pith_short_12: RVSJAJDXPCJY · pith_short_16: RVSJAJDXPCJYLOGM · pith_short_8: RVSJAJDX

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/RVSJAJDXPCJYLOGMOIN3NRDKT2 \
  | 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: 8d64902477789385b8cc721bb6c46a9ea702ad620a9f02a6fa63d47629477c43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d7753f9880ff4850d936d89bbc4b8d550f3316f97597c5bbb3668cfe3bfdfe3",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-12-30T21:40:51Z",
    "title_canon_sha256": "e3c2187312d3984ce8ef61b0e09978621b70147509c4c14ea17dc889370f61ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0028",
    "kind": "arxiv",
    "version": 2
  }
}