Pith Number

pith:B3OA5RHP

pith:2010:B3OA5RHPBOXKZJLRPHVZBDYQLD

not attested not anchored not stored refs pending

Constructions for cyclic sieving phenomena

Andrew Berget, Sen-Peng Eu, Victor Reiner

arxiv:1004.0747 v2 · 2010-04-06 · 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{B3OA5RHPBOXKZJLRPHVZBDYQLD}

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	2026-05-18T03:49:33.073131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0edc0ec4ef0baeaca57179eb908f1058e7a7beda1810221d678514664be5b764

Aliases

arxiv: 1004.0747 · arxiv_version: 1004.0747v2 · doi: 10.48550/arxiv.1004.0747 · pith_short_12: B3OA5RHPBOXK · pith_short_16: B3OA5RHPBOXKZJLR · pith_short_8: B3OA5RHP

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/B3OA5RHPBOXKZJLRPHVZBDYQLD \
  | 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: 0edc0ec4ef0baeaca57179eb908f1058e7a7beda1810221d678514664be5b764

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0157fcc281c5ef924a79606874fa3d2b7066cf5506e84d1d472aae285098072",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-04-06T01:16:17Z",
    "title_canon_sha256": "051c4e1f62dd7a77875477ef32befda022a431ba9021e2723de92d304dcfefad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0747",
    "kind": "arxiv",
    "version": 2
  }
}