Pith Number

pith:K2PXLXUJ

pith:2016:K2PXLXUJJRPFBNJZ43GPD66YZT

not attested not anchored not stored refs pending

Semi-classical quantization rules for a periodic orbit of hyperbolic type

Hanen Louati, Michel Rouleux

arxiv:1607.05057 v2 · 2016-07-18 · 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{K2PXLXUJJRPFBNJZ43GPD66YZT}

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	2026-05-18T01:09:30.680300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

569f75de894c5e50b539e6ccf1fbd8ccf42e8967e13dea8c08584a900207fe33

Aliases

arxiv: 1607.05057 · arxiv_version: 1607.05057v2 · doi: 10.48550/arxiv.1607.05057 · pith_short_12: K2PXLXUJJRPF · pith_short_16: K2PXLXUJJRPFBNJZ · pith_short_8: K2PXLXUJ

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/K2PXLXUJJRPFBNJZ43GPD66YZT \
  | 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: 569f75de894c5e50b539e6ccf1fbd8ccf42e8967e13dea8c08584a900207fe33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "806130f8eb9c542335c72b30f21c33275573c9d3ea09fd3344a43f0fc539fe62",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-07-18T13:25:03Z",
    "title_canon_sha256": "28b3683d82b240eda01c1453565c209876d8f0872884d023143c3776a7780a37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05057",
    "kind": "arxiv",
    "version": 2
  }
}