Pith Number

pith:XVTOIQKZ

pith:2011:XVTOIQKZCYSXZMCHMFCOJHQCE7

not attested not anchored not stored refs pending

Asymptotics for the Length of the Longest Increasing Subsequence of Binary Markov Random Word

Christian Houdr\'e, Trevis J. Litherland

arxiv:1110.1324 v2 · 2011-10-06 · 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{XVTOIQKZCYSXZMCHMFCOJHQCE7}

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	2026-05-18T03:47:53.691548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd66e4415916257cb0476144e49e0227f4b482050ecb5e4e222dc1283b4e8ee2

Aliases

arxiv: 1110.1324 · arxiv_version: 1110.1324v2 · doi: 10.48550/arxiv.1110.1324 · pith_short_12: XVTOIQKZCYSX · pith_short_16: XVTOIQKZCYSXZMCH · pith_short_8: XVTOIQKZ

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/XVTOIQKZCYSXZMCHMFCOJHQCE7 \
  | 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: bd66e4415916257cb0476144e49e0227f4b482050ecb5e4e222dc1283b4e8ee2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63e51a88ab74738245bcc011439362cff501b6dcd14922f44811c184d2336416",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-06T16:58:32Z",
    "title_canon_sha256": "8919c43ca76c8de141c24c21c66f52f248bd5697e8f7c56d94795d244d9b27c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1324",
    "kind": "arxiv",
    "version": 2
  }
}