Pith Number

pith:SQ5RGPJC

pith:2010:SQ5RGPJC7GVSN7AILFCOZYZKAI

not attested not anchored not stored refs pending

Homomorphisms into mapping class groups. An addendum

Cornelia Drutu, Jason Behrstock, Mark Sapir

arxiv:1005.5056 v2 · 2010-05-27 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SQ5RGPJC7GVSN7AILFCOZYZKAI}

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	2026-05-18T04:40:55.887485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

943b133d22f9ab26fc085944ece32a020d61d7da9959fe5f1a2258b5498e9d3d

Aliases

arxiv: 1005.5056 · arxiv_version: 1005.5056v2 · doi: 10.48550/arxiv.1005.5056 · pith_short_12: SQ5RGPJC7GVS · pith_short_16: SQ5RGPJC7GVSN7AI · pith_short_8: SQ5RGPJC

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/SQ5RGPJC7GVSN7AILFCOZYZKAI \
  | 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: 943b133d22f9ab26fc085944ece32a020d61d7da9959fe5f1a2258b5498e9d3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20002f217a67c58510911f7b0e8d47e688800f87396ee55ac53fc00f584ccd4a",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-05-27T13:03:36Z",
    "title_canon_sha256": "979baaded0cc10c5821f088baae0641f883b2fa39a27bb7708fabb3f1668816f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5056",
    "kind": "arxiv",
    "version": 2
  }
}