Pith Number

pith:4LTRO6KK

pith:2019:4LTRO6KKEM4CSPY2JS4ARBDP2A

not attested not anchored not stored refs pending

On Translation Lengths of Anosov Maps on Curve Graph of Torus

Changsub Kim, Hyungryul Baik, Hyunshik Shin, Sanghoon Kwak

arxiv:1908.00472 v1 · 2019-08-01 · 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{4LTRO6KKEM4CSPY2JS4ARBDP2A}

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	2026-07-05T05:59:00.954334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2e717794a2338293f1a4cb808846fd006ff8f9424bbaf69edc8d6247e1a1e9a

Aliases

arxiv: 1908.00472 · arxiv_version: 1908.00472v1 · doi: 10.48550/arxiv.1908.00472 · pith_short_12: 4LTRO6KKEM4C · pith_short_16: 4LTRO6KKEM4CSPY2 · pith_short_8: 4LTRO6KK

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/4LTRO6KKEM4CSPY2JS4ARBDP2A \
  | 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: e2e717794a2338293f1a4cb808846fd006ff8f9424bbaf69edc8d6247e1a1e9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe32938850ec8ab14d2a6b852b914f55938038b744942f4ca7890f6c64c04710",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-08-01T16:00:31Z",
    "title_canon_sha256": "7a53a60383ce0829be7bd39d40119616481031f2bd4fcede0e55c98d5f2fbe5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.00472",
    "kind": "arxiv",
    "version": 1
  }
}