Pith Number

pith:NXG7CESN

pith:2017:NXG7CESNTJ3SGIFHA5IZXCKKAE

not attested not anchored not stored refs pending

Products of random walks on finite groups with moderate growth

Guan-Yu Chen, Takashi Kumagai

arxiv:1703.05466 v2 · 2017-03-16 · 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{NXG7CESNTJ3SGIFHA5IZXCKKAE}

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	2026-05-18T00:45:25.602381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dcdf1124d9a772320a707519b894a011321315a5202db7d0f2ca1dfe2528b52

Aliases

arxiv: 1703.05466 · arxiv_version: 1703.05466v2 · doi: 10.48550/arxiv.1703.05466 · pith_short_12: NXG7CESNTJ3S · pith_short_16: NXG7CESNTJ3SGIFH · pith_short_8: NXG7CESN

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/NXG7CESNTJ3SGIFHA5IZXCKKAE \
  | 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: 6dcdf1124d9a772320a707519b894a011321315a5202db7d0f2ca1dfe2528b52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9624fb8f1aa9f4234a753d97e1d29c4fae000d7d21ee3ff5c10897671929919",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-03-16T03:17:55Z",
    "title_canon_sha256": "487be796ffebdf6ade7b1eb62487a415426dd54f3250649aa9e5c1ac9c965ff9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05466",
    "kind": "arxiv",
    "version": 2
  }
}