Pith Number

pith:U55PIC6X

pith:2014:U55PIC6XPCDXR4GVHJN5CADV7W

not attested not anchored not stored refs pending

Inversions and Longest Increasing Subsequence for $k$-Card-Minimum Random Permutations

Nicholas F. Travers

arxiv:1406.3911 v1 · 2014-06-16 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U55PIC6XPCDXR4GVHJN5CADV7W}

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	2026-05-18T02:49:39.514036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a77af40bd7788778f0d53a5bd10075fdbe766ecb2ad800c033a1dde8257787ab

Aliases

arxiv: 1406.3911 · arxiv_version: 1406.3911v1 · doi: 10.48550/arxiv.1406.3911 · pith_short_12: U55PIC6XPCDX · pith_short_16: U55PIC6XPCDXR4GV · pith_short_8: U55PIC6X

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/U55PIC6XPCDXR4GVHJN5CADV7W \
  | 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: a77af40bd7788778f0d53a5bd10075fdbe766ecb2ad800c033a1dde8257787ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3931d3183aac5e08190b0cde7c2bff75b26cc28abf3f11645c1b0054c8bed6c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-06-16T06:02:24Z",
    "title_canon_sha256": "ecd126966ae6f49f68a2d67551a82b40a44b89891998492f5de56083b5ac3c3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3911",
    "kind": "arxiv",
    "version": 1
  }
}