Pith Number

pith:IQ6QHFLT

pith:2013:IQ6QHFLTSLTCE5OBROV567ITZA

not attested not anchored not stored refs pending

A Quantum Version of The Spectral Decomposition Theorem of Dynamical Systems, Quantum Chaos Hierarchy: Ergodic, Mixing and Exact

Ignacio Gomez, Mario Castagnino

arxiv:1302.5398 v2 · 2013-02-21 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IQ6QHFLTSLTCE5OBROV567ITZA}

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	2026-05-18T02:38:17.334881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

443d03957392e62275c18babdf7d13c82406e98c87941e7e056bd2f21f7c22fd

Aliases

arxiv: 1302.5398 · arxiv_version: 1302.5398v2 · doi: 10.48550/arxiv.1302.5398 · pith_short_12: IQ6QHFLTSLTC · pith_short_16: IQ6QHFLTSLTCE5OB · pith_short_8: IQ6QHFLT

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/IQ6QHFLTSLTCE5OBROV567ITZA \
  | 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: 443d03957392e62275c18babdf7d13c82406e98c87941e7e056bd2f21f7c22fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0146af78d6b456710490bb965b9b87a7da2439a41e1479cd4bd2d8ea0dd7acc9",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-02-21T20:11:32Z",
    "title_canon_sha256": "68b0546f7d11217161d6d0107cfd7b0f6f0f0ff60946bb33d87deb8a0df85033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5398",
    "kind": "arxiv",
    "version": 2
  }
}