Pith Number

pith:LDA3MQK6

pith:2013:LDA3MQK6DEI3LDCY3NSDLMS3S3

not attested not anchored not stored refs pending

Towards a definition of the Quantum Ergodic Hierarchy: Kolmogorov and Bernoulli systems

Ignacio Gomez, Mario Castagnino

arxiv:1301.7278 v3 · 2013-01-30 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LDA3MQK6DEI3LDCY3NSDLMS3S3}

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	2026-05-18T02:37:52.188266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58c1b6415e1911b58c58db6435b25b96c255bfa90cfc171afe65d12fec63fdfc

Aliases

arxiv: 1301.7278 · arxiv_version: 1301.7278v3 · doi: 10.48550/arxiv.1301.7278 · pith_short_12: LDA3MQK6DEI3 · pith_short_16: LDA3MQK6DEI3LDCY · pith_short_8: LDA3MQK6

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/LDA3MQK6DEI3LDCY3NSDLMS3S3 \
  | 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: 58c1b6415e1911b58c58db6435b25b96c255bfa90cfc171afe65d12fec63fdfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dcfba14001ed8bbcf6dda1e5119be3160638d4381a7fecd01510ffc050e15d3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-01-30T16:32:43Z",
    "title_canon_sha256": "44e363f228d24b2c2c68acebf48a4a826d83898283f868373c991752ecd68ff3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7278",
    "kind": "arxiv",
    "version": 3
  }
}