Pith Number

pith:YFS3CQVO

pith:2014:YFS3CQVO7K2I36FKDRLJ67SRF2

not attested not anchored not stored refs pending

Large deviation bounds for the volume of the largest cluster in 2D critical percolation

Demeter Kiss

arxiv:1404.2118 v1 · 2014-04-08 · 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{YFS3CQVO7K2I36FKDRLJ67SRF2}

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	2026-05-18T02:54:38.510623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c165b142aefab48df8aa1c569f7e512e9debe7a53b83410bff5f36abebd3c4e3

Aliases

arxiv: 1404.2118 · arxiv_version: 1404.2118v1 · doi: 10.48550/arxiv.1404.2118 · pith_short_12: YFS3CQVO7K2I · pith_short_16: YFS3CQVO7K2I36FK · pith_short_8: YFS3CQVO

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/YFS3CQVO7K2I36FKDRLJ67SRF2 \
  | 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: c165b142aefab48df8aa1c569f7e512e9debe7a53b83410bff5f36abebd3c4e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fcb07bf3ccccbf6d84ee9c8e5efc297d2eabf3804b3b40add11f692e6bde6f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-04-08T13:24:01Z",
    "title_canon_sha256": "982f69aecbdbc1d7fd6cb5cc8cb59c8f557a97bfd8976b63413c59f968e78935"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2118",
    "kind": "arxiv",
    "version": 1
  }
}