Pith Number

pith:7XFDIT7A

pith:2014:7XFDIT7AORD5D7IXSRXBHWHJA6

not attested not anchored not stored refs pending

Minimum number of monotone subsequences of length 4 in permutations

Bal\'azs Udvari, Bernard Lidick\'y, Jan Volec, J\'ozsef Balogh, Oleg Pikhurko, Ping Hu

arxiv:1411.3024 v1 · 2014-11-11 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7XFDIT7AORD5D7IXSRXBHWHJA6}

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	2026-05-18T01:59:38.251290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdca344fe07447d1fd17946e13d8e907aed40fce40bc0b3f606ca6320be80ee3

Aliases

arxiv: 1411.3024 · arxiv_version: 1411.3024v1 · doi: 10.48550/arxiv.1411.3024 · pith_short_12: 7XFDIT7AORD5 · pith_short_16: 7XFDIT7AORD5D7IX · pith_short_8: 7XFDIT7A

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/7XFDIT7AORD5D7IXSRXBHWHJA6 \
  | 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: fdca344fe07447d1fd17946e13d8e907aed40fce40bc0b3f606ca6320be80ee3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c0503e8ef072d5054c935dcbd852b1bda8add61e09d1841315f55c75bef539a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-11T23:48:41Z",
    "title_canon_sha256": "ef63ad392b51eaecb49909689d2b2e5d368cefd87517fafaee97280dbafbcdfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3024",
    "kind": "arxiv",
    "version": 1
  }
}