Pith Number

pith:3JX4RDFD

pith:2024:3JX4RDFDAVDAVIJEQFZOMK3AAX

not attested not anchored not stored refs pending

Step-reinforced random walks and one-half

Shuo Qin

arxiv:2402.16396 v2 · 2024-02-26 · 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{3JX4RDFDAVDAVIJEQFZOMK3AAX}

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.

Cited by

1 paper in Pith

A Poincar\'e Inequality and Exponential Decay for the Elephant Random Walk

Receipt and verification

First computed	2026-07-05T11:10:45.279211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da6fc88ca305460aa1248172e62b6005c541528e240a91ed8ecc6f8761892c4b

Aliases

arxiv: 2402.16396 · arxiv_version: 2402.16396v2 · doi: 10.48550/arxiv.2402.16396 · pith_short_12: 3JX4RDFDAVDA · pith_short_16: 3JX4RDFDAVDAVIJE · pith_short_8: 3JX4RDFD

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/3JX4RDFDAVDAVIJEQFZOMK3AAX \
  | 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: da6fc88ca305460aa1248172e62b6005c541528e240a91ed8ecc6f8761892c4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44cfcbeb4638c1b4944e40c3258ca3ceccaec91b1c2b344194b2301fa2dd1d50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-02-26T08:40:15Z",
    "title_canon_sha256": "107eebf8f22cadd014c48f417332bfb2d6e0aa0b2acca3781646988af6131fc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.16396",
    "kind": "arxiv",
    "version": 2
  }
}