pith. sign in
Pith Number

pith:IB754FL7

pith:2012:IB754FL7C7VQMHGZIGYFPDMCXM
not attested not anchored not stored refs pending

The boundary of a fibered face of the magic 3-manifold and the asymptotic behavior of the minimal pseudo-Anosovs dilatations

Eiko Kin, Mitsuhiko Takasawa

arxiv:1205.2956 v2 · 2012-05-14 · math.GT · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IB754FL7C7VQMHGZIGYFPDMCXM}

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 2026-05-18T03:09:22.914090Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

407fde157f17eb061cd941b0578d82bb314282f068543d8bd3051af142689f83

Aliases

arxiv: 1205.2956 · arxiv_version: 1205.2956v2 · doi: 10.48550/arxiv.1205.2956 · pith_short_12: IB754FL7C7VQ · pith_short_16: IB754FL7C7VQMHGZ · pith_short_8: IB754FL7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IB754FL7C7VQMHGZIGYFPDMCXM \
  | 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: 407fde157f17eb061cd941b0578d82bb314282f068543d8bd3051af142689f83
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "04a20ce81ef8fa896d0a7e70989436f90309aae5c358a03d22f43f6bd3371b4b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-14T07:57:12Z",
    "title_canon_sha256": "be667a7ff0a388d3f6d17f436e7573951cf51f37195de6fea73567a638550e0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2956",
    "kind": "arxiv",
    "version": 2
  }
}