Pith Number

pith:HZMRH5J3

pith:2013:HZMRH5J3UZO4WV5JGYMDVB6MYJ

not attested not anchored not stored refs pending

Total variation cutoff in a tree

Perla Sousi, Yuval Peres

arxiv:1307.2887 v1 · 2013-07-10 · 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{HZMRH5J3UZO4WV5JGYMDVB6MYJ}

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	2026-05-18T03:18:50.113395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e5913f53ba65dcb57a936183a87ccc265e85b79e01a86d1540bcc19ea196766

Aliases

arxiv: 1307.2887 · arxiv_version: 1307.2887v1 · doi: 10.48550/arxiv.1307.2887 · pith_short_12: HZMRH5J3UZO4 · pith_short_16: HZMRH5J3UZO4WV5J · pith_short_8: HZMRH5J3

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/HZMRH5J3UZO4WV5JGYMDVB6MYJ \
  | 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: 3e5913f53ba65dcb57a936183a87ccc265e85b79e01a86d1540bcc19ea196766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a77a83b72129f5eac894e46e31ae3392da60ff4d4ee378e3c7c1ff8f56f3ad7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-10T19:31:45Z",
    "title_canon_sha256": "e8968d4da0c000bbf9f44b2984bedd6401c9952b28803937f53f95e86fc90563"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2887",
    "kind": "arxiv",
    "version": 1
  }
}