pith. sign in
Pith Number

pith:V27NXQI3

pith:2012:V27NXQI3LXI2WPRKYKDLQJCV3E
not attested not anchored not stored refs pending

An analytical formulation for roughness based on celular automata

Bernardo A. Mello, Fernando A. Oliveira, Henrique A. Fernandes, Ismael V. L. Costa

arxiv:1208.5063 v3 · 2012-08-24 · nlin.CG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{V27NXQI3LXI2WPRKYKDLQJCV3E}

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 2026-05-18T03:46:48.787717Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

aebedbc11b5dd1ab3e2ac286b82455d9030b7fe232da6684145379f58c5f158c

Aliases

arxiv: 1208.5063 · arxiv_version: 1208.5063v3 · doi: 10.48550/arxiv.1208.5063 · pith_short_12: V27NXQI3LXI2 · pith_short_16: V27NXQI3LXI2WPRK · pith_short_8: V27NXQI3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/V27NXQI3LXI2WPRKYKDLQJCV3E \
  | 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: aebedbc11b5dd1ab3e2ac286b82455d9030b7fe232da6684145379f58c5f158c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fe778326ba02a312cde0498bb0dc8cfee8d1ffe2e796bdf865271ede0a06595d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CG",
    "submitted_at": "2012-08-24T20:41:28Z",
    "title_canon_sha256": "ec6c8f224e31fc43541377ecc4571a91df62cc9e1e995da2af60038be368a0de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5063",
    "kind": "arxiv",
    "version": 3
  }
}