pith. sign in
Pith Number

pith:WZQ6TQP4

pith:2015:WZQ6TQP4BSD7HMYOWV5R3C2EA3
not attested not anchored not stored refs pending

Dynamical criticality: overview and open questions

Alessandro Filisetti, Andrea Roli, Marco Villani, Roberto Serra

arxiv:1512.05259 v2 · 2015-12-16 · nlin.AO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WZQ6TQP4BSD7HMYOWV5R3C2EA3}

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 2026-05-18T01:04:33.080974Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b661e9c1fc0c87f3b30eb57b1d8b4406f48b92b2f21bc3af6db07ac8f16b4334

Aliases

arxiv: 1512.05259 · arxiv_version: 1512.05259v2 · doi: 10.48550/arxiv.1512.05259 · pith_short_12: WZQ6TQP4BSD7 · pith_short_16: WZQ6TQP4BSD7HMYO · pith_short_8: WZQ6TQP4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WZQ6TQP4BSD7HMYOWV5R3C2EA3 \
  | 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: b661e9c1fc0c87f3b30eb57b1d8b4406f48b92b2f21bc3af6db07ac8f16b4334
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ddfe05c292352a6b2418dd468b8d15330922a2c3cb1f4c88ba979f32f90fbe91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2015-12-16T17:32:50Z",
    "title_canon_sha256": "0d39c0fcd205e90250072e7abe613478a4457c37b1a61bd61d2f936b1d078cd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05259",
    "kind": "arxiv",
    "version": 2
  }
}