Pith Number

pith:3DL5J4HR

pith:2012:3DL5J4HROI222UCADKYCVDRLKD

not attested not anchored not stored refs pending

Dynamics of Convex Cocompact Subgroups of Mapping Class Groups

Ilya Gekhtman

arxiv:1204.1741 v3 · 2012-04-08 · math.DS · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3DL5J4HROI222UCADKYCVDRLKD}

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	2026-05-18T03:10:00.317635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8d7d4f0f17235ad50401ab02a8e2b50d99124e4cbb9ee54bbc4d74eb8ebbbd0

Aliases

arxiv: 1204.1741 · arxiv_version: 1204.1741v3 · doi: 10.48550/arxiv.1204.1741 · pith_short_12: 3DL5J4HROI22 · pith_short_16: 3DL5J4HROI222UCA · pith_short_8: 3DL5J4HR

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/3DL5J4HROI222UCADKYCVDRLKD \
  | 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: d8d7d4f0f17235ad50401ab02a8e2b50d99124e4cbb9ee54bbc4d74eb8ebbbd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06660204e638142f3ed8251663e37aa63e0ca5d148ed7497881672869b548174",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-04-08T16:05:35Z",
    "title_canon_sha256": "601078d04a0d7109865abdf721f009c5b07f4f119ab8862bbb9eac2d2971ab87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1741",
    "kind": "arxiv",
    "version": 3
  }
}