Pith Number

pith:YJXLP4B2

pith:2017:YJXLP4B2Q4IF5EFOLTCN76M6XZ

not attested not anchored not stored refs pending

The Kontsevich--Zorich cocycle over Veech--McMullen family of symmetric translation surfaces

Artur Avila, Carlos Matheus, Jean-Christophe Yoccoz

arxiv:1710.11323 v2 · 2017-10-31 · 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{YJXLP4B2Q4IF5EFOLTCN76M6XZ}

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	2026-05-18T00:09:04.197310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c26eb7f03a87105e90ae5cc4dff99ebe554d634fa3c440ecb00d7badda309108

Aliases

arxiv: 1710.11323 · arxiv_version: 1710.11323v2 · doi: 10.48550/arxiv.1710.11323 · pith_short_12: YJXLP4B2Q4IF · pith_short_16: YJXLP4B2Q4IF5EFO · pith_short_8: YJXLP4B2

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/YJXLP4B2Q4IF5EFOLTCN76M6XZ \
  | 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: c26eb7f03a87105e90ae5cc4dff99ebe554d634fa3c440ecb00d7badda309108

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e37a1d46cb01a4eb2bedfe5436cd7a05ebd9442c40f82b3aa59d1e4f61e149e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-10-31T04:33:32Z",
    "title_canon_sha256": "76f2ef8af603a350f173202e402517ec9b397397316ce2fee90e40aeae562022"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.11323",
    "kind": "arxiv",
    "version": 2
  }
}