Pith Number

pith:LRDAT32N

pith:2017:LRDAT32NIEIB6VNRRIY7GF5CS5

not attested not anchored not stored refs pending

Mixing time for random walk on supercritical dynamical percolation

Jeffrey E. Steif, Perla Sousi, Yuval Peres

arxiv:1707.07632 v1 · 2017-07-24 · 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{LRDAT32NIEIB6VNRRIY7GF5CS5}

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	2026-05-18T00:39:41.561381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c4609ef4d41101f55b18a31f317a2977e0d1e94eabe69faab429bf73374e9f1

Aliases

arxiv: 1707.07632 · arxiv_version: 1707.07632v1 · doi: 10.48550/arxiv.1707.07632 · pith_short_12: LRDAT32NIEIB · pith_short_16: LRDAT32NIEIB6VNR · pith_short_8: LRDAT32N

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/LRDAT32NIEIB6VNRRIY7GF5CS5 \
  | 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: 5c4609ef4d41101f55b18a31f317a2977e0d1e94eabe69faab429bf73374e9f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5eafc70abb19c05f1c5b03106e5c9d7a8f90458965f9479ab8ad41ef7164006",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-24T16:20:14Z",
    "title_canon_sha256": "d137a6d292bc1bedb061b7c2608ecf57380372db23c532946ad5d4bfbe0ea76e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07632",
    "kind": "arxiv",
    "version": 1
  }
}