Pith Number

pith:UTIRISXQ

pith:2018:UTIRISXQLWDWFOVXKXZ7AWEYFC

not attested not anchored not stored refs pending

On the range of a two-dimensional conditioned simple random walk

Marina Vachkovskaia, Nina Gantert, Serguei Popov

arxiv:1804.00291 v2 · 2018-04-01 · 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{UTIRISXQLWDWFOVXKXZ7AWEYFC}

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	2026-05-17T23:46:19.799004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4d1144af05d8762bab755f3f058982883f030dcee59468e919d587966c1b335

Aliases

arxiv: 1804.00291 · arxiv_version: 1804.00291v2 · doi: 10.48550/arxiv.1804.00291 · pith_short_12: UTIRISXQLWDW · pith_short_16: UTIRISXQLWDWFOVX · pith_short_8: UTIRISXQ

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/UTIRISXQLWDWFOVXKXZ7AWEYFC \
  | 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: a4d1144af05d8762bab755f3f058982883f030dcee59468e919d587966c1b335

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c85f08e5c7817f9ba97df01a437513bdc946f2c6d6301b5c8c7924de1f846764",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-04-01T12:37:43Z",
    "title_canon_sha256": "b571ed91b2bac2bac7e27d41b87624bdf9af6cc33c551e4c78fdba3f123acbf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.00291",
    "kind": "arxiv",
    "version": 2
  }
}