Pith Number

pith:RCY73X5H

pith:2015:RCY73X5HH7ELBGI3X4E6UQKSMG

not attested not anchored not stored refs pending

About the speed of random walks on solvable groups

J\'er\'emie Brieussel

arxiv:1505.03294 v1 · 2015-05-13 · math.GR · 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{RCY73X5HH7ELBGI3X4E6UQKSMG}

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	2026-05-18T02:12:09.691525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88b1fddfa73fc8b0991bbf09ea4152619684a4aa0100cd195d46ae30bbd42a58

Aliases

arxiv: 1505.03294 · arxiv_version: 1505.03294v1 · doi: 10.48550/arxiv.1505.03294 · pith_short_12: RCY73X5HH7EL · pith_short_16: RCY73X5HH7ELBGI3 · pith_short_8: RCY73X5H

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/RCY73X5HH7ELBGI3X4E6UQKSMG \
  | 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: 88b1fddfa73fc8b0991bbf09ea4152619684a4aa0100cd195d46ae30bbd42a58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faefeea0206218ea3b26166d025d0d986893c071929f013fd413c94aff3a6c56",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-05-13T09:51:16Z",
    "title_canon_sha256": "3e6151b932d02f0b6b799f610c3da0b65fcfaa052656839b5b4b74e9848e7dfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03294",
    "kind": "arxiv",
    "version": 1
  }
}