Pith Number

pith:H6CXYZMU

pith:2021:H6CXYZMUUM5U5L4HDVMT7PYS6G

not attested not anchored not stored refs pending

Missing-level statistics in classically chaotic quantum systems with symplectic symmetry

1 Barbara Dietz, 2 Xiaodong Zhang, Guozhi Chai, Jiongning Che, Junjie Lu

arxiv:2104.01911 v1 · 2021-04-01 · 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{H6CXYZMUUM5U5L4HDVMT7PYS6G}

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	2026-07-05T02:38:54.244164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f857c6594a33b4eaf871d593fbf12f194e192611e08672bfb9e13d679708a44

Aliases

arxiv: 2104.01911 · arxiv_version: 2104.01911v1 · doi: 10.48550/arxiv.2104.01911 · pith_short_12: H6CXYZMUUM5U · pith_short_16: H6CXYZMUUM5U5L4H · pith_short_8: H6CXYZMU

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/H6CXYZMUUM5U5L4HDVMT7PYS6G \
  | 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: 3f857c6594a33b4eaf871d593fbf12f194e192611e08672bfb9e13d679708a44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60f163f37c5acc5ffd76f131142f85ca1ef7d0ae643e85d33263fa786f217797",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-04-01T10:06:18Z",
    "title_canon_sha256": "2c22696ebaf8a15394f9ec57c23da0b52a115b194d1c0dfca18e62207b785cf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.01911",
    "kind": "arxiv",
    "version": 1
  }
}