Pith Number

pith:XE7PQACQ

pith:2013:XE7PQACQGC5TOQFZYE4ECIVUEC

not attested not anchored not stored refs pending

Introduction to Teichm\"uller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and billiards

Carlos Matheus, Giovanni Forni

arxiv:1311.2758 v1 · 2013-11-12 · 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{XE7PQACQGC5TOQFZYE4ECIVUEC}

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	2026-05-18T01:12:59.838765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b93ef8005030bb3740b9c1384122b4208d6687792a17ebc22bab0ab67cf9324e

Aliases

arxiv: 1311.2758 · arxiv_version: 1311.2758v1 · doi: 10.48550/arxiv.1311.2758 · pith_short_12: XE7PQACQGC5T · pith_short_16: XE7PQACQGC5TOQFZ · pith_short_8: XE7PQACQ

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/XE7PQACQGC5TOQFZYE4ECIVUEC \
  | 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: b93ef8005030bb3740b9c1384122b4208d6687792a17ebc22bab0ab67cf9324e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c01f3e120b0bf4fbce6ceea29906ca9b6c2e29fb4778a5496bc3f41aafd892cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-11-12T12:43:31Z",
    "title_canon_sha256": "abae5aadf55ead46c740c6cc2daa34d3fb808830f1a032bfa0e2ff6a552afa26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2758",
    "kind": "arxiv",
    "version": 1
  }
}