Pith Number

pith:7TSLKKWQ

pith:2012:7TSLKKWQLGMJ4LDM4IDQI3TPUZ

not attested not anchored not stored refs pending

Dehn twists and free subgroups of symplectic mapping class groups

Ailsa Keating

arxiv:1204.2851 v3 · 2012-04-12 · math.SG · 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{7TSLKKWQLGMJ4LDM4IDQI3TPUZ}

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	2026-05-18T02:57:53.647642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fce4b52ad059989e2c6ce207046e6fa674ec7b276a65591b32a90f61fdcf50dc

Aliases

arxiv: 1204.2851 · arxiv_version: 1204.2851v3 · doi: 10.48550/arxiv.1204.2851 · pith_short_12: 7TSLKKWQLGMJ · pith_short_16: 7TSLKKWQLGMJ4LDM · pith_short_8: 7TSLKKWQ

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/7TSLKKWQLGMJ4LDM4IDQI3TPUZ \
  | 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: fce4b52ad059989e2c6ce207046e6fa674ec7b276a65591b32a90f61fdcf50dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "879cb9f7dfe5ef9f385cba6405a657083b3e05e8fe3b8da06f439c44bad17528",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-04-12T22:18:52Z",
    "title_canon_sha256": "44d87663fe66ffcf0562d4a4bd877ad7ab99f9971d41a1ea2ffc723d79e868b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2851",
    "kind": "arxiv",
    "version": 3
  }
}