Pith Number

pith:TLDLS2I3

pith:2012:TLDLS2I3LGHBGFJJXDGRIGFGCZ

not attested not anchored not stored refs pending

A Monotonicity Result for the Range of a Perturbed Random Walk

Lung-Chi Chen, Rongfeng Sun

arxiv:1203.1389 v3 · 2012-03-07 · 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{TLDLS2I3LGHBGFJJXDGRIGFGCZ}

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	2026-05-18T03:38:46.239780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ac6b9691b598e131529b8cd1418a6165341ac6394983b2097a80309a8a30280

Aliases

arxiv: 1203.1389 · arxiv_version: 1203.1389v3 · doi: 10.48550/arxiv.1203.1389 · pith_short_12: TLDLS2I3LGHB · pith_short_16: TLDLS2I3LGHBGFJJ · pith_short_8: TLDLS2I3

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/TLDLS2I3LGHBGFJJXDGRIGFGCZ \
  | 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: 9ac6b9691b598e131529b8cd1418a6165341ac6394983b2097a80309a8a30280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0d7f948781d98b16e0f9e25449fed70f2ec988900af677258f418b74c9bc3e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-07T06:43:33Z",
    "title_canon_sha256": "88f186cc4171e2b0e860fad009cf86099f2c29611e40036e33c8176b2a82ea2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1389",
    "kind": "arxiv",
    "version": 3
  }
}