Pith Number

pith:NPJXHMYG

pith:2013:NPJXHMYGSKZW3ZG7PLTO7Z52LC

not attested not anchored not stored refs pending

Lengths of Monotone Subsequences in a Mallows Permutation

Nayantara Bhatnagar, Ron Peled

arxiv:1306.3674 v2 · 2013-06-16 · math.PR · 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{NPJXHMYGSKZW3ZG7PLTO7Z52LC}

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	2026-05-18T00:48:55.458879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bd373b30692b36de4df7ae6efe7ba589e4c3ff40ddf183efd80217eab1d4655

Aliases

arxiv: 1306.3674 · arxiv_version: 1306.3674v2 · doi: 10.48550/arxiv.1306.3674 · pith_short_12: NPJXHMYGSKZW · pith_short_16: NPJXHMYGSKZW3ZG7 · pith_short_8: NPJXHMYG

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/NPJXHMYGSKZW3ZG7PLTO7Z52LC \
  | 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: 6bd373b30692b36de4df7ae6efe7ba589e4c3ff40ddf183efd80217eab1d4655

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b5041aac6c49fe281f937e92ed27d7cf236cda91768efc5b24d43c57b6bb0b1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-16T16:10:53Z",
    "title_canon_sha256": "789ac0c41be896583e7dc75dfd429b12b20dd9dd2a36981ca7ea21d948a32b41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3674",
    "kind": "arxiv",
    "version": 2
  }
}