Pith Number

pith:4KIIFJN3

pith:2018:4KIIFJN3I2QIIZYUVFE4J34OKU

not attested not anchored not stored refs pending

From Classical Periodic Orbits in Integrable $\pi$-Rational Billiards to Quantum Energy Spectrum

Sabyasachi Maulik, Somdeb Chakraborty, S. Pratik Khastgir, Subhasis Panda

arxiv:1808.04784 v1 · 2018-08-14 · quant-ph · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KIIFJN3I2QIIZYUVFE4J34OKU}

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	2026-05-18T00:08:11.760022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e29082a5bb46a0846714a949c4ef8e552a124db5912437d2fe435a23cbc03ba5

Aliases

arxiv: 1808.04784 · arxiv_version: 1808.04784v1 · doi: 10.48550/arxiv.1808.04784 · pith_short_12: 4KIIFJN3I2QI · pith_short_16: 4KIIFJN3I2QIIZYU · pith_short_8: 4KIIFJN3

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/4KIIFJN3I2QIIZYUVFE4J34OKU \
  | 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: e29082a5bb46a0846714a949c4ef8e552a124db5912437d2fe435a23cbc03ba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b59b9d11f2b06c110f11f7987c18baab8a5e473871146ea88272a5e12e19d42",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-08-14T16:29:50Z",
    "title_canon_sha256": "384d8518a41b053a21ec26cf0937886d427d021c3ad246e4a64e01e5cc676971"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04784",
    "kind": "arxiv",
    "version": 1
  }
}