Pith Number

pith:4PQOT6BV

pith:2015:4PQOT6BV2WHRGU75MT67QEEQR5

not attested not anchored not stored refs pending

Quenched Large Deviations for Simple Random Walks on Supercritical Percolation Clusters

Chiranjib Mukherjee, Noam Berger

arxiv:1501.02730 v3 · 2015-01-12 · math.PR · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PQOT6BV2WHRGU75MT67QEEQR5}

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	2026-05-18T02:19:50.187936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3e0e9f835d58f1353fd64fdf810908f50940df9dc9200e0795443df6747152d

Aliases

arxiv: 1501.02730 · arxiv_version: 1501.02730v3 · doi: 10.48550/arxiv.1501.02730 · pith_short_12: 4PQOT6BV2WHR · pith_short_16: 4PQOT6BV2WHRGU75 · pith_short_8: 4PQOT6BV

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/4PQOT6BV2WHRGU75MT67QEEQR5 \
  | 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: e3e0e9f835d58f1353fd64fdf810908f50940df9dc9200e0795443df6747152d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9bb6293bf734545f4704b1f32ec36c2db61dfa627659eb687a6350332b29d59",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-12T17:35:19Z",
    "title_canon_sha256": "4b96af0fa623d64d6cea9b0c9f0d1b8f8c1af1a4591ebb34e77fa9e3ede4a6d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02730",
    "kind": "arxiv",
    "version": 3
  }
}