Pith Number

pith:FEL6SY37

pith:2013:FEL6SY37CMUJETTNBYOHPEON6G

not attested not anchored not stored refs pending

Random walks on free solvable groups

Laurent Saloff-Coste, Tianyi Zheng

arxiv:1307.5332 v1 · 2013-07-19 · 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{FEL6SY37CMUJETTNBYOHPEON6G}

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	2026-05-18T03:17:56.080911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2917e9637f1328924e6d0e1c7791cdf193aa7e3e983b644633c7c7963d75f5a6

Aliases

arxiv: 1307.5332 · arxiv_version: 1307.5332v1 · doi: 10.48550/arxiv.1307.5332 · pith_short_12: FEL6SY37CMUJ · pith_short_16: FEL6SY37CMUJETTN · pith_short_8: FEL6SY37

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/FEL6SY37CMUJETTNBYOHPEON6G \
  | 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: 2917e9637f1328924e6d0e1c7791cdf193aa7e3e983b644633c7c7963d75f5a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07678ea20d6525bf951e1c2c90f25afbec9b957fc0998ea897feafb0930e726c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-19T20:21:41Z",
    "title_canon_sha256": "9ded9b88fad1c02e41cd67d17de119a97faf28998d475061836a786109e77ec3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5332",
    "kind": "arxiv",
    "version": 1
  }
}