Pith Number

pith:J7N5R27Z

pith:2011:J7N5R27ZCWRVM3XEZ22YZEGJR6

not attested not anchored not stored refs pending

The Cyclic Sieving Phenomenon for non-crossing forests

Stefan Kluge

arxiv:1106.0992 v1 · 2011-06-06 · 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{J7N5R27ZCWRVM3XEZ22YZEGJR6}

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	2026-05-18T04:20:36.755260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fdbd8ebf915a3566ee4ceb58c90c98fa57ae05f8d6fe626a4eeaf51ca47e50a

Aliases

arxiv: 1106.0992 · arxiv_version: 1106.0992v1 · doi: 10.48550/arxiv.1106.0992 · pith_short_12: J7N5R27ZCWRV · pith_short_16: J7N5R27ZCWRVM3XE · pith_short_8: J7N5R27Z

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/J7N5R27ZCWRVM3XEZ22YZEGJR6 \
  | 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: 4fdbd8ebf915a3566ee4ceb58c90c98fa57ae05f8d6fe626a4eeaf51ca47e50a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44acb309d539e85e729473b69dfe5217292b53baf8ea4518d67d1c98e06a0ca5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-06T09:01:47Z",
    "title_canon_sha256": "92f479a402720a82ceadf517bbcf93a01482723c3b760090c2225d853ddc1e30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0992",
    "kind": "arxiv",
    "version": 1
  }
}