Pith Number

pith:EMX5FHWL

pith:2010:EMX5FHWLQ3CVMCOLNFADUGHL6Y

not attested not anchored not stored refs pending

Asymptotic behavior and moderate deviation principle for the maximum of a Dyck path

Termeh Kousha

arxiv:1008.0606 v3 · 2010-08-03 · 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{EMX5FHWLQ3CVMCOLNFADUGHL6Y}

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	2026-05-18T04:18:04.591274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

232fd29ecb86c55609cb69403a18ebf60dc0fbe681351fb47fb8317bcbd55461

Aliases

arxiv: 1008.0606 · arxiv_version: 1008.0606v3 · doi: 10.48550/arxiv.1008.0606 · pith_short_12: EMX5FHWLQ3CV · pith_short_16: EMX5FHWLQ3CVMCOL · pith_short_8: EMX5FHWL

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/EMX5FHWLQ3CVMCOLNFADUGHL6Y \
  | 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: 232fd29ecb86c55609cb69403a18ebf60dc0fbe681351fb47fb8317bcbd55461

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab180bec09d170c45e785b994457c5fb97c4b94358141952afa0b2e7bf3a98d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-08-03T17:57:05Z",
    "title_canon_sha256": "b9c5200b2fdd516f9e42d62db101cb395abdd6076447acad129f6ac732298ffa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0606",
    "kind": "arxiv",
    "version": 3
  }
}