pith. sign in
Pith Number

pith:VSNF4MWI

pith:1996:VSNF4MWI6V3CWPTCJ3SQNRPUMU
not attested not anchored not stored refs pending

Nonuniversality in level dynamics

Jakub Zakrzewski, Karol \.Zyczkowski, Pawe{\l} Kunstman

arxiv:chao-dyn/9611019 v1 · 1996-11-28 · chao-dyn · nlin.CD

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VSNF4MWI6V3CWPTCJ3SQNRPUMU}

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 2026-05-18T01:07:24.740599Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ac9a5e32c8f5762b3e624ee506c5f465297b019626ea854d88e59cd8a5fd6625

Aliases

arxiv: chao-dyn/9611019 · arxiv_version: chao-dyn/9611019v1 · doi: 10.48550/arxiv.chao-dyn/9611019 · pith_short_12: VSNF4MWI6V3C · pith_short_16: VSNF4MWI6V3CWPTC · pith_short_8: VSNF4MWI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VSNF4MWI6V3CWPTCJ3SQNRPUMU \
  | 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: ac9a5e32c8f5762b3e624ee506c5f465297b019626ea854d88e59cd8a5fd6625
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4c31090f61ac7cc7aac89d24beb06d09da147c0082c45dfbcdb14f3aef9c2ffd",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1996-11-28T19:19:31Z",
    "title_canon_sha256": "baf09676ade8594bbf047e44799f774234339a375686a98b8022601517dd4037"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9611019",
    "kind": "arxiv",
    "version": 1
  }
}