Pith Number

pith:MXBEUAFG

pith:2015:MXBEUAFG3M6MWFMDQENDQYP7Y5

not attested not anchored not stored refs pending

Random walks and isoperimetric profiles under moment conditions

Laurent Saloff-Coste, Tianyi Zheng

arxiv:1501.05929 v1 · 2015-01-23 · 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{MXBEUAFG3M6MWFMDQENDQYP7Y5}

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	2026-05-18T02:28:48.726963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65c24a00a6db3ccb1583811a3861ffc744161173529ce1e1cb672f52ac72ff83

Aliases

arxiv: 1501.05929 · arxiv_version: 1501.05929v1 · doi: 10.48550/arxiv.1501.05929 · pith_short_12: MXBEUAFG3M6M · pith_short_16: MXBEUAFG3M6MWFMD · pith_short_8: MXBEUAFG

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/MXBEUAFG3M6MWFMDQENDQYP7Y5 \
  | 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: 65c24a00a6db3ccb1583811a3861ffc744161173529ce1e1cb672f52ac72ff83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31c2f512bbe5ad7e7ddc1ad4a0d1d29bb6e99960c01fe7ebf9d3f22cc3a63d53",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-23T19:55:51Z",
    "title_canon_sha256": "1eac293f9b9b9b84617e29c4750f1c5fa02eff6173fddc874b70c99b18299d75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05929",
    "kind": "arxiv",
    "version": 1
  }
}