Pith Number

pith:YXQ3CG2W

pith:2024:YXQ3CG2WEKQI54ZFSFIYQRYW6D

not attested not anchored not stored refs pending

Small-ball estimates for random walks on groups

Tom Hutchcroft

arxiv:2406.17587 v1 · 2024-06-25 · 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{YXQ3CG2WEKQI54ZFSFIYQRYW6D}

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

Coarse embeddability, $L^1$-compression and Percolations on General Graphs

Receipt and verification

First computed	2026-07-05T08:36:37.368908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5e1b11b5622a08ef3259151884716f0d9e5d244ebfea19ff1e24e05cdfa0ff0

Aliases

arxiv: 2406.17587 · arxiv_version: 2406.17587v1 · doi: 10.48550/arxiv.2406.17587 · pith_short_12: YXQ3CG2WEKQI · pith_short_16: YXQ3CG2WEKQI54ZF · pith_short_8: YXQ3CG2W

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/YXQ3CG2WEKQI54ZFSFIYQRYW6D \
  | 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: c5e1b11b5622a08ef3259151884716f0d9e5d244ebfea19ff1e24e05cdfa0ff0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db3cff16de868a6860d8b47da2d9fbd1e5ef73fe53a3f8e075b9b5896c107b15",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-06-25T14:29:25Z",
    "title_canon_sha256": "d105372d6b461c7149f0496bf6496f7d6ab9e5df7542ceb450a1ba3057fa8b71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.17587",
    "kind": "arxiv",
    "version": 1
  }
}