Pith Number

pith:HSDO7LPV

pith:2023:HSDO7LPVPHDK2ZC3C6ZJYCLTXR

not attested not anchored not stored refs pending

Supercritical sharpness for Voronoi percolation

Barbara Dembin, Franco Severo

arxiv:2311.00555 v2 · 2023-11-01 · 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{HSDO7LPVPHDK2ZC3C6ZJYCLTXR}

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.

Cited by

1 paper in Pith

The supercritical phase of the $\varphi^4$ model is well behaved

Receipt and verification

First computed	2026-07-05T09:24:55.039252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c86efadf579c6ad645b17b29c0973bc7c83bd1eda0a0c52b7ee1be5902f35a5

Aliases

arxiv: 2311.00555 · arxiv_version: 2311.00555v2 · doi: 10.48550/arxiv.2311.00555 · pith_short_12: HSDO7LPVPHDK · pith_short_16: HSDO7LPVPHDK2ZC3 · pith_short_8: HSDO7LPV

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/HSDO7LPVPHDK2ZC3C6ZJYCLTXR \
  | 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: 3c86efadf579c6ad645b17b29c0973bc7c83bd1eda0a0c52b7ee1be5902f35a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "617894420e0f290bfe534df2038ec156ec86a55835975dd5a981d4c2d2d9d7e3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-11-01T14:42:29Z",
    "title_canon_sha256": "5253b52b89cdc569a4a58b920daac1da8666d52f3f361a9064d542f92fd8d0da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.00555",
    "kind": "arxiv",
    "version": 2
  }
}