Pith Number

pith:RYTIPOG5

pith:2026:RYTIPOG5B2Z4PFSGTX32A5Q63C

not attested not anchored not stored refs pending

Two Instances of Chaos in Deterministic and Quantum Dynamical Systems

Andrea Ulliana

arxiv:2607.26538 v1 · 2026-07-29 · math.DS · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RYTIPOG5B2Z4PFSGTX32A5Q63C}

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	2026-07-30T01:20:49.344388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

8e2687b8dd0eb3c796469df7a0761ed8b6a1c3c52c7780bdb5262679d3947529

Aliases

arxiv: 2607.26538 · arxiv_version: 2607.26538v1 · doi: 10.48550/arxiv.2607.26538 · pith_short_12: RYTIPOG5B2Z4 · pith_short_16: RYTIPOG5B2Z4PFSG · pith_short_8: RYTIPOG5

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/RYTIPOG5B2Z4PFSGTX32A5Q63C \
  | 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: 8e2687b8dd0eb3c796469df7a0761ed8b6a1c3c52c7780bdb5262679d3947529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d15a220e8a8244f65a42577cd452a96810a759e94f526e77fa3d84a24e49e00",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-29T07:05:19Z",
    "title_canon_sha256": "564d257279492bbc711ccc7f95a70baa0d81ced4c1a4f32702fa1643185bd52f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26538",
    "kind": "arxiv",
    "version": 1
  }
}