Pith Number

pith:7UWRSNAX

pith:2010:7UWRSNAXMF3YXPZTWWBPIYTJGX

not attested not anchored not stored refs pending

Khinchin theorem for interval exchange transformations

Luca Marchese

arxiv:1003.5883 v2 · 2010-03-30 · 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{7UWRSNAXMF3YXPZTWWBPIYTJGX}

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	2026-05-18T04:33:29.349810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd2d19341761778bbf33b582f4626935d37fbc3b908b52896b5b00fedfe9628f

Aliases

arxiv: 1003.5883 · arxiv_version: 1003.5883v2 · doi: 10.48550/arxiv.1003.5883 · pith_short_12: 7UWRSNAXMF3Y · pith_short_16: 7UWRSNAXMF3YXPZT · pith_short_8: 7UWRSNAX

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/7UWRSNAXMF3YXPZTWWBPIYTJGX \
  | 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: fd2d19341761778bbf33b582f4626935d37fbc3b908b52896b5b00fedfe9628f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddbb15ba5004b0f723a2f8ca42cfe25df52fcca0ef3826ddf66814058ef973fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-03-30T18:11:56Z",
    "title_canon_sha256": "46e1cd0a00e278011d3c9ab4be0ed29b9f63104fed831ae0c9b5c1842b42891a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5883",
    "kind": "arxiv",
    "version": 2
  }
}