Pith Number

pith:EEXCQHFC

pith:2011:EEXCQHFCZ3PCPSYR6DENYDD6IL

not attested not anchored not stored refs pending

Chaos in the square billiard with a modified reflection law

Diogo Pinheiro, Gianluigi Del Magno, Jo\~ao Lopes Dias, Jos\'e Pedro Gaiv\~ao, Pedro Duarte

arxiv:1112.1753 v2 · 2011-12-08 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EEXCQHFCZ3PCPSYR6DENYDD6IL}

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	2026-05-18T01:59:15.256095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

212e281ca2cede27cb11f0c8dc0c7e42cf538a2b2a72d12f5b1ea116ade0b2fd

Aliases

arxiv: 1112.1753 · arxiv_version: 1112.1753v2 · doi: 10.48550/arxiv.1112.1753 · pith_short_12: EEXCQHFCZ3PC · pith_short_16: EEXCQHFCZ3PCPSYR · pith_short_8: EEXCQHFC

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/EEXCQHFCZ3PCPSYR6DENYDD6IL \
  | 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: 212e281ca2cede27cb11f0c8dc0c7e42cf538a2b2a72d12f5b1ea116ade0b2fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46d5b03a22f8d8c087e785f113496edf19fa5d9715e1b75fa6bf106c0cc5ed9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-12-08T02:52:12Z",
    "title_canon_sha256": "a3e02cd289e7c0efac54ee3fc8e6aca3d46c0be593a1eaaff540e0bda0572318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1753",
    "kind": "arxiv",
    "version": 2
  }
}