Pith Number

pith:5XJOFRGZ

pith:2017:5XJOFRGZMJC366ZZRFCR37RM3C

not attested not anchored not stored refs pending

Topologically weakly mixing polygonal billiards

Jozef Bobok, Serge Troubetzkoy (I2M)

arxiv:1702.08260 v1 · 2017-02-27 · 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{5XJOFRGZMJC366ZZRFCR37RM3C}

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	2026-05-18T00:49:55.426154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edd2e2c4d96245bf7b3989451dfe2cd8b59628872a532530a82e40be422d692b

Aliases

arxiv: 1702.08260 · arxiv_version: 1702.08260v1 · doi: 10.48550/arxiv.1702.08260 · pith_short_12: 5XJOFRGZMJC3 · pith_short_16: 5XJOFRGZMJC366ZZ · pith_short_8: 5XJOFRGZ

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/5XJOFRGZMJC366ZZRFCR37RM3C \
  | 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: edd2e2c4d96245bf7b3989451dfe2cd8b59628872a532530a82e40be422d692b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3013ab2a6ab79fd5bae634147e4ccfd796cd5d2b589ac56adacebcf850feb6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-02-27T12:57:51Z",
    "title_canon_sha256": "f94d3cb04b235d6874c20f7b02c00951ae5dc8600d592fb0889142d5243c9f06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08260",
    "kind": "arxiv",
    "version": 1
  }
}