Pith Number

pith:4WGHSXE6

pith:2019:4WGHSXE6DCZOJ7N6YUGK4E6XK3

not attested not anchored not stored refs pending

Quantum Chaos and Quantum Randomness - Paradigms of Entropy Production on the Smallest Scales

Thomas Dittrich

arxiv:1901.09845 v1 · 2019-01-28 · 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{4WGHSXE6DCZOJ7N6YUGK4E6XK3}

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	2026-05-17T23:47:26.380750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e58c795c9e18b2e4fdbec50cae13d756cb22acf20b03e8a332109f33626d38c4

Aliases

arxiv: 1901.09845 · arxiv_version: 1901.09845v1 · doi: 10.48550/arxiv.1901.09845 · pith_short_12: 4WGHSXE6DCZO · pith_short_16: 4WGHSXE6DCZOJ7N6 · pith_short_8: 4WGHSXE6

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/4WGHSXE6DCZOJ7N6YUGK4E6XK3 \
  | 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: e58c795c9e18b2e4fdbec50cae13d756cb22acf20b03e8a332109f33626d38c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01b24e0227104901cc39f2f7b623478638bbfa146ea3bf415c80ce6b0b7c8963",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-01-28T17:38:45Z",
    "title_canon_sha256": "eaa85d98e337316c3b5e197ec6ebc30da7210f1f64378fb28b7bccec85e81203"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09845",
    "kind": "arxiv",
    "version": 1
  }
}