Pith Number

pith:HMFNQZVU

pith:2019:HMFNQZVUYL4RKI3QF5AWCT7SAB

not attested not anchored not stored refs pending

Chen--Stein Method for the Uncovered Set of Random Walk on $\mathbb Z_n^d$ for $d \ge 3$

Perla Sousi, Sam Olesker-Taylor

arxiv:1911.05581 v3 · 2019-11-13 · 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{HMFNQZVUYL4RKI3QF5AWCT7SAB}

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	2026-07-05T02:11:20.288689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b0ad866b4c2f91523702f41614ff200442dab1824dfada5845ace4a67f51c16

Aliases

arxiv: 1911.05581 · arxiv_version: 1911.05581v3 · doi: 10.48550/arxiv.1911.05581 · pith_short_12: HMFNQZVUYL4R · pith_short_16: HMFNQZVUYL4RKI3Q · pith_short_8: HMFNQZVU

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/HMFNQZVUYL4RKI3QF5AWCT7SAB \
  | 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: 3b0ad866b4c2f91523702f41614ff200442dab1824dfada5845ace4a67f51c16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bf6f6f859232e802b6d026b37958c8bbd661719a89b177e3e05242e0789139b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-11-13T16:20:21Z",
    "title_canon_sha256": "601881141889e9e5aa7cdc857259ba5991a3b5d389581669d30f7dbb8ba09583"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.05581",
    "kind": "arxiv",
    "version": 3
  }
}