Pith Number

pith:Z4NCZ4ZP

pith:2015:Z4NCZ4ZPCCS7WAWWRFEPYNYAHR

not attested not anchored not stored refs pending

Random walks on Baumslag-Solitar groups

Ecaterina Sava-Huss, Johannes Cuno

arxiv:1510.00833 v3 · 2015-10-03 · math.PR · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4NCZ4ZPCCS7WAWWRFEPYNYAHR}

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	2026-05-18T00:30:33.187264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf1a2cf32f10a5fb02d68948fc37003c43baae6599ec21d2df055b3a13b2d326

Aliases

arxiv: 1510.00833 · arxiv_version: 1510.00833v3 · doi: 10.48550/arxiv.1510.00833 · pith_short_12: Z4NCZ4ZPCCS7 · pith_short_16: Z4NCZ4ZPCCS7WAWW · pith_short_8: Z4NCZ4ZP

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/Z4NCZ4ZPCCS7WAWWRFEPYNYAHR \
  | 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: cf1a2cf32f10a5fb02d68948fc37003c43baae6599ec21d2df055b3a13b2d326

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5666a50707007897ac166b29c2a242cf5965eaaf0683be8659d9cff86423c03e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-03T14:43:17Z",
    "title_canon_sha256": "8f1a156269c82b10ab6b8e5be3d000e7c49539d07f79d115fc89b84a13e84a24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00833",
    "kind": "arxiv",
    "version": 3
  }
}