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Pith Number

pith:JDKYE5ZC

pith:2013:JDKYE5ZCPQJLAUU7CIOLFAZQM7
not attested not anchored not stored refs pending

Dissipative outer billiards: a case study

Eugene Gutkin, Gianluigi Del Magno, Jos\'e Pedro Gaiv\~ao

arxiv:1310.4724 v1 · 2013-10-17 · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JDKYE5ZCPQJLAUU7CIOLFAZQM7}

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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 2026-05-18T03:10:13.062288Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

48d58277227c12b0529f121cb2833067db1213b5860f3bb7bea1a8356ae7770c

Aliases

arxiv: 1310.4724 · arxiv_version: 1310.4724v1 · doi: 10.48550/arxiv.1310.4724 · pith_short_12: JDKYE5ZCPQJL · pith_short_16: JDKYE5ZCPQJLAUU7 · pith_short_8: JDKYE5ZC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JDKYE5ZCPQJLAUU7CIOLFAZQM7 \
  | 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: 48d58277227c12b0529f121cb2833067db1213b5860f3bb7bea1a8356ae7770c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e361ba83786dfa5993e2c0a9e068410b2a68b8b0a95da5583d411037a0c63dbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-10-17T14:42:49Z",
    "title_canon_sha256": "9ee87f49e22d022f723eb66946ecc137295cc5cb818e167c3cfeaa600fd84252"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4724",
    "kind": "arxiv",
    "version": 1
  }
}