Pith Number

pith:HP5QFH47

pith:2002:HP5QFH47PNADYQ4L6EACSNG4EC

not attested not anchored not stored refs pending

The lowest crossing in 2D critical percolation

A. A. Jarai, J. van den Berg

arxiv:math/0201030 v1 · 2002-01-04 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HP5QFH47PNADYQ4L6EACSNG4EC}

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	2026-05-18T04:31:52.726833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bfb029f9f7b403c438bf1002934dc209a8836498f98deffa183b114c8a47702

Aliases

arxiv: math/0201030 · arxiv_version: math/0201030v1 · doi: 10.48550/arxiv.math/0201030 · pith_short_12: HP5QFH47PNAD · pith_short_16: HP5QFH47PNADYQ4L · pith_short_8: HP5QFH47

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/HP5QFH47PNADYQ4L6EACSNG4EC \
  | 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: 3bfb029f9f7b403c438bf1002934dc209a8836498f98deffa183b114c8a47702

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecd3854b04c30dcf29f19f5a6796a9b05671f03d037b27282413c6c7468caf2f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2002-01-04T18:56:21Z",
    "title_canon_sha256": "0be0e283e9aa77c91aca97dacc02e6cf7b0754175165d252706ed54b908d52c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0201030",
    "kind": "arxiv",
    "version": 1
  }
}