Pith Number

pith:4R4QFNZZ

pith:2025:4R4QFNZZJWDZFLYGQA5T2KBFOW

not attested not anchored not stored refs pending

Convergence in natural parametrization of random walk frontier

Daisuke Shiraishi, Runsheng Liu, Xiangyi Liu, Xinyi Li, Yifan Gao

arxiv:2504.13743 v1 · 2025-04-18 · 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{4R4QFNZZJWDZFLYGQA5T2KBFOW}

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	2026-07-05T10:51:01.428419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e47902b7394d8792af06803b3d282575904c4812ce68381770a54b7cd851e9e1

Aliases

arxiv: 2504.13743 · arxiv_version: 2504.13743v1 · doi: 10.48550/arxiv.2504.13743 · pith_short_12: 4R4QFNZZJWDZ · pith_short_16: 4R4QFNZZJWDZFLYG · pith_short_8: 4R4QFNZZ

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/4R4QFNZZJWDZFLYGQA5T2KBFOW \
  | 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: e47902b7394d8792af06803b3d282575904c4812ce68381770a54b7cd851e9e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "701c87ab200f9789ec66741356b453c9c70e860938fbadddeb31dd64119507fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-04-18T15:17:30Z",
    "title_canon_sha256": "4c3b8cfd578a81e1cb7bb0dc8daf95bee29d312f5ce090d6e2ad1e41e56dd09c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.13743",
    "kind": "arxiv",
    "version": 1
  }
}