Pith Number

pith:LFQXQU2Q

pith:2018:LFQXQU2QXMSRTRXNAIVAVGZBJC

not attested not anchored not stored refs pending

Deducing Three Gap Theorem From Rauzy-Veech Induction

Christian Wei{\ss}

arxiv:1807.11273 v3 · 2018-07-30 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LFQXQU2QXMSRTRXNAIVAVGZBJC}

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	2026-05-17T23:54:53.999965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5961785350bb2519c6ed022a0a9b2148982326ce7822547cae2a3c0b6cc9a657

Aliases

arxiv: 1807.11273 · arxiv_version: 1807.11273v3 · doi: 10.48550/arxiv.1807.11273 · pith_short_12: LFQXQU2QXMSR · pith_short_16: LFQXQU2QXMSRTRXN · pith_short_8: LFQXQU2Q

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/LFQXQU2QXMSRTRXNAIVAVGZBJC \
  | 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: 5961785350bb2519c6ed022a0a9b2148982326ce7822547cae2a3c0b6cc9a657

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a23b66297d075556005544c1d38062afa3396642d3f9721b8c5f504e2f7f8548",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-07-30T10:24:26Z",
    "title_canon_sha256": "af87e3e5f9201608899084bb1310009806bfb5a2b15ef0d5dc3eec5a17473d44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11273",
    "kind": "arxiv",
    "version": 3
  }
}