Pith Number

pith:ABLLRHTN

pith:2013:ABLLRHTNNQZCNHMILIUM22JILI

not attested not anchored not stored refs pending

The semiclassical theory of discontinuous systems and ray-splitting billiards

Alexander Strohmaier, Dmitry Jakobson, Yuri Safarov, Yves Colin de Verdiere (Appendix)

arxiv:1301.6783 v5 · 2013-01-28 · math.AP · math-ph · math.DS · 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{ABLLRHTNNQZCNHMILIUM22JILI}

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	2026-05-18T01:32:58.031383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0056b89e6d6c32269d885a28cd69285a3775b885ccbb770ead44c4da19c91280

Aliases

arxiv: 1301.6783 · arxiv_version: 1301.6783v5 · doi: 10.48550/arxiv.1301.6783 · pith_short_12: ABLLRHTNNQZC · pith_short_16: ABLLRHTNNQZCNHMI · pith_short_8: ABLLRHTN

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/ABLLRHTNNQZCNHMILIUM22JILI \
  | 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: 0056b89e6d6c32269d885a28cd69285a3775b885ccbb770ead44c4da19c91280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cb96c915b7a45b31d8cfece0ca4e96354035ed2bbb67297ed4e3db8c667b8c0",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-28T21:39:35Z",
    "title_canon_sha256": "4b1769af248b7ae38b9c334953815b7c294daac9a5db0196a5982e1e19bf83cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6783",
    "kind": "arxiv",
    "version": 5
  }
}