Pith Number

pith:2NWXH3WE

pith:2016:2NWXH3WEWKSOYST3SYXUZDGD2M

not attested not anchored not stored refs pending

Juxtaposing Catalan permutation classes with monotone ones

Jakub Sliacan, Robert Brignall

arxiv:1611.05370 v2 · 2016-11-16 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2NWXH3WEWKSOYST3SYXUZDGD2M}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:47:49.344966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d36d73eec4b2a4ec4a7b962f4c8cc3d30a8d0b377d94c099151c9e9fbc35178c

Aliases

arxiv: 1611.05370 · arxiv_version: 1611.05370v2 · doi: 10.48550/arxiv.1611.05370 · pith_short_12: 2NWXH3WEWKSO · pith_short_16: 2NWXH3WEWKSOYST3 · pith_short_8: 2NWXH3WE

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/2NWXH3WEWKSOYST3SYXUZDGD2M \
  | 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: d36d73eec4b2a4ec4a7b962f4c8cc3d30a8d0b377d94c099151c9e9fbc35178c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5de66efa715aab2a7ab65c1fda43d9f08fa7abcfdc7e535e4a3933abade6792e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-16T17:07:19Z",
    "title_canon_sha256": "fdda393ee3730143a513f1e77684bef1ef859ad53d8650770a97d734506782d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05370",
    "kind": "arxiv",
    "version": 2
  }
}