Pith Number

pith:7AXUVZV6

pith:2024:7AXUVZV6HKX4NVB6ED2TKF2S24

not attested not anchored not stored refs pending

Percolation of discrete GFF in dimension two II. Connectivity properties of two-sided level sets

Pierre Nolin, Wei Qian, Yifan Gao

arxiv:2409.16273 v2 · 2024-09-24 · 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{7AXUVZV6HKX4NVB6ED2TKF2S24}

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	2026-05-28T02:04:39.159078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f82f4ae6be3aafc6d43e20f5351752d717e2e7c6dee9cbab8a9acdd236731635

Aliases

arxiv: 2409.16273 · arxiv_version: 2409.16273v2 · doi: 10.48550/arxiv.2409.16273 · pith_short_12: 7AXUVZV6HKX4 · pith_short_16: 7AXUVZV6HKX4NVB6 · pith_short_8: 7AXUVZV6

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/7AXUVZV6HKX4NVB6ED2TKF2S24 \
  | 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: f82f4ae6be3aafc6d43e20f5351752d717e2e7c6dee9cbab8a9acdd236731635

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5929aec6832af002381d7e9eb36643480a52d7dd3cc821bbe359d62b6d45bf78",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-09-24T17:45:22Z",
    "title_canon_sha256": "ddc2c8c28a09b2ae0d50a9e5e2985e2ee57d269e096fd7de9933bd8fcae5b2df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.16273",
    "kind": "arxiv",
    "version": 2
  }
}