Pith Number

pith:KFXZJWAE

pith:2015:KFXZJWAESSB33LEXS4URQI6OPT

not attested not anchored not stored refs pending

Isoperimetric profiles and random walks on some permutation wreath products

Laurent Saloff-Coste, Tianyi Zheng

arxiv:1510.08830 v1 · 2015-10-29 · 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{KFXZJWAESSB33LEXS4URQI6OPT}

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	2026-05-18T01:28:26.532258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

516f94d8049483bdac9797291823ce7ceee0adcbdee18388da2dcbe41664e4da

Aliases

arxiv: 1510.08830 · arxiv_version: 1510.08830v1 · doi: 10.48550/arxiv.1510.08830 · pith_short_12: KFXZJWAESSB3 · pith_short_16: KFXZJWAESSB33LEX · pith_short_8: KFXZJWAE

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/KFXZJWAESSB33LEXS4URQI6OPT \
  | 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: 516f94d8049483bdac9797291823ce7ceee0adcbdee18388da2dcbe41664e4da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "168bf241fd6c87cbd12210f1b25b1116175431960a329c902dcc251fd267ca37",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-29T19:26:56Z",
    "title_canon_sha256": "128660c8a28f735a8d39a819b2e2fd88d2dd65fd123f463b284a78e6266b19c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08830",
    "kind": "arxiv",
    "version": 1
  }
}