Pith Number

pith:CYCBSNNU

pith:2017:CYCBSNNUEWIDM2CPSPUKYTPUUK

not attested not anchored not stored refs pending

Local asymptotics for the area under the random walk excursion

Elena Perfilev, Vitali Wachtel

arxiv:1708.06189 v1 · 2017-08-21 · 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{CYCBSNNUEWIDM2CPSPUKYTPUUK}

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	2026-05-18T00:37:42.967977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16041935b4259036684f93e8ac4df4a28bf3852eb0a8504ee4f9c0e482348166

Aliases

arxiv: 1708.06189 · arxiv_version: 1708.06189v1 · doi: 10.48550/arxiv.1708.06189 · pith_short_12: CYCBSNNUEWID · pith_short_16: CYCBSNNUEWIDM2CP · pith_short_8: CYCBSNNU

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/CYCBSNNUEWIDM2CPSPUKYTPUUK \
  | 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: 16041935b4259036684f93e8ac4df4a28bf3852eb0a8504ee4f9c0e482348166

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f0bf202f27691e383c5f1017359f6f2999c7a58f9a91b278bb6e697638a69af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-21T12:40:30Z",
    "title_canon_sha256": "3be8c23b2ebd699bf1a7adee905f7217603bb58a9af2e3315695d765fab8a7f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06189",
    "kind": "arxiv",
    "version": 1
  }
}