Pith Number

pith:HU7J4I4P

pith:2015:HU7J4I4PX47OSFMYC225J32UPI

not attested not anchored not stored refs pending

Zero entropy subgroups of mapping class groups

John Franks, Kamlesh Parwani

arxiv:1502.02288 v3 · 2015-02-08 · 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{HU7J4I4PX47OSFMYC225J32UPI}

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	2026-05-18T01:15:23.803954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d3e9e238fbf3ee9159816b5d4ef547a084571a88eea4b52bc0a43215f1c5258

Aliases

arxiv: 1502.02288 · arxiv_version: 1502.02288v3 · doi: 10.48550/arxiv.1502.02288 · pith_short_12: HU7J4I4PX47O · pith_short_16: HU7J4I4PX47OSFMY · pith_short_8: HU7J4I4P

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/HU7J4I4PX47OSFMYC225J32UPI \
  | 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: 3d3e9e238fbf3ee9159816b5d4ef547a084571a88eea4b52bc0a43215f1c5258

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03572b45db2b282e6b2919690273723639d56b8cf6af2acbe33de99c423b355a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-02-08T19:15:00Z",
    "title_canon_sha256": "cf7846ad6967f316b4b07a598c427326094c177195adced139272a215771e2e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02288",
    "kind": "arxiv",
    "version": 3
  }
}