Pith Number

pith:MWUITHZT

pith:2013:MWUITHZT7LBKM6A2O2RVQKQMCQ

not attested not anchored not stored refs pending

Limit sets of Teichm\"uller geodesics with minimal non-uniquely ergodic vertical foliation

Anna Lenzhen, Christopher Leininger, Kasra Rafi

arxiv:1312.2305 v4 · 2013-12-09 · math.GT · 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{MWUITHZT7LBKM6A2O2RVQKQMCQ}

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	2026-05-18T02:26:51.654180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65a8899f33fac2a6781a76a3582a0c1431ac2b24bb4c8b3cc7a9508d946256a6

Aliases

arxiv: 1312.2305 · arxiv_version: 1312.2305v4 · doi: 10.48550/arxiv.1312.2305 · pith_short_12: MWUITHZT7LBK · pith_short_16: MWUITHZT7LBKM6A2 · pith_short_8: MWUITHZT

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/MWUITHZT7LBKM6A2O2RVQKQMCQ \
  | 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: 65a8899f33fac2a6781a76a3582a0c1431ac2b24bb4c8b3cc7a9508d946256a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f03b3f77ab2be90eace2d2e7641ddeb17d37abafe5931998cdc0e2a42667dd91",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-12-09T04:25:42Z",
    "title_canon_sha256": "60c72d58dc3eef6cbeba27b8375e43eaf8a7f4067b1f76870a38706f305ab46d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2305",
    "kind": "arxiv",
    "version": 4
  }
}