Pith Number

pith:Q3VA7S5I

pith:2019:Q3VA7S5IEMMY6FMEN7TNXNOTTO

not attested not anchored not stored refs pending

Large deviations of the length of the longest increasing subsequence of random permutations and random walks

Alexander K. Hartmann, Hendrik Schawe, J\"orn B\"orjes

arxiv:1901.05235 v1 · 2019-01-16 · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3VA7S5IEMMY6FMEN7TNXNOTTO}

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	2026-05-17T23:49:27.157748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86ea0fcba823198f15846fe6dbb5d39b9193baecc67a92cd56dd3fe2d863c0f2

Aliases

arxiv: 1901.05235 · arxiv_version: 1901.05235v1 · doi: 10.48550/arxiv.1901.05235 · pith_short_12: Q3VA7S5IEMMY · pith_short_16: Q3VA7S5IEMMY6FME · pith_short_8: Q3VA7S5I

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/Q3VA7S5IEMMY6FMEN7TNXNOTTO \
  | 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: 86ea0fcba823198f15846fe6dbb5d39b9193baecc67a92cd56dd3fe2d863c0f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ab559f75c14b29069b592a58b56be8546d28333f9aa38d2571d05536a454274",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2019-01-16T11:20:38Z",
    "title_canon_sha256": "cd2c50b95bc65e285f96a3ff082756451e6ce0b9ab44feebb8a7c77bb63a63a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05235",
    "kind": "arxiv",
    "version": 1
  }
}