Pith Number

pith:ZRZXXCZQ

pith:2012:ZRZXXCZQVVIHTMC7AXVZKLDEXJ

not attested not anchored not stored refs pending

Smooth Conjugacy classes of circle diffeomorphisms with irrational rotation number

Christian Bonatti, Nancy Guelman

arxiv:1207.2508 v1 · 2012-07-10 · 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{ZRZXXCZQVVIHTMC7AXVZKLDEXJ}

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	2026-05-18T03:51:15.240358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc737b8b30ad5079b05f05eb952c64ba700d481e4351f246d7ccfb48836b6d25

Aliases

arxiv: 1207.2508 · arxiv_version: 1207.2508v1 · doi: 10.48550/arxiv.1207.2508 · pith_short_12: ZRZXXCZQVVIH · pith_short_16: ZRZXXCZQVVIHTMC7 · pith_short_8: ZRZXXCZQ

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/ZRZXXCZQVVIHTMC7AXVZKLDEXJ \
  | 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: cc737b8b30ad5079b05f05eb952c64ba700d481e4351f246d7ccfb48836b6d25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1a852ce03fd97b9633fd9459e3ab1a9730ca5fbf22ee822fc67f215f0ab5200",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-07-10T23:00:39Z",
    "title_canon_sha256": "c9e7d80fc0964b2572f2c05e6319c2387d767cd32de891f2183b72c589d4e022"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2508",
    "kind": "arxiv",
    "version": 1
  }
}