Pith Number

pith:RRY4IT77

pith:2018:RRY4IT77YUBH5YIPGGQLV77OIL

not attested not anchored not stored refs pending

Dynamical coupling between Ising and FK percolation

Rapha\"el Cerf, Sana Louhichi

arxiv:1809.02330 v1 · 2018-09-07 · 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{RRY4IT77YUBH5YIPGGQLV77OIL}

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	2026-05-18T00:06:17.432426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c71c44fffc5027ee10f31a0baffee42d6ae73f8107e39a361019d80f0b2b569

Aliases

arxiv: 1809.02330 · arxiv_version: 1809.02330v1 · doi: 10.48550/arxiv.1809.02330 · pith_short_12: RRY4IT77YUBH · pith_short_16: RRY4IT77YUBH5YIP · pith_short_8: RRY4IT77

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/RRY4IT77YUBH5YIPGGQLV77OIL \
  | 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: 8c71c44fffc5027ee10f31a0baffee42d6ae73f8107e39a361019d80f0b2b569

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "376f8a165556f4860cab4961d4fbff9192ad44953d1897fb13f0ab21cea905d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-07T07:28:34Z",
    "title_canon_sha256": "ca97de710890d04bbaa76f150cbc7de02d40e6b7a5fa1607cdadbf4d2abb4adf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02330",
    "kind": "arxiv",
    "version": 1
  }
}