Pith Number

pith:WQ7ONO7R

pith:2011:WQ7ONO7RNICXBV3UJFQY7VRM6V

not attested not anchored not stored refs pending

A Lower Bound for the Number of Group Actions on a Compact Riemann Surface

Aaron Wootton, James W. Anderson

arxiv:1107.3433 v2 · 2011-07-18 · math.AG · 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{WQ7ONO7RNICXBV3UJFQY7VRM6V}

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	2026-05-18T02:17:12.785702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b43ee6bbf16a0570d77449618fd62cf57da9198c9f64d73bc1db2851b601b63b

Aliases

arxiv: 1107.3433 · arxiv_version: 1107.3433v2 · doi: 10.48550/arxiv.1107.3433 · pith_short_12: WQ7ONO7RNICX · pith_short_16: WQ7ONO7RNICXBV3U · pith_short_8: WQ7ONO7R

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/WQ7ONO7RNICXBV3UJFQY7VRM6V \
  | 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: b43ee6bbf16a0570d77449618fd62cf57da9198c9f64d73bc1db2851b601b63b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da07fcaa8c7bed56ecacd50f8e781bfe48ac1a4add827985e55a015bc4b79d6c",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-18T13:34:36Z",
    "title_canon_sha256": "3c9176a02d17b8cac59888150268de338de4259943ed663400353f3b75699e58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3433",
    "kind": "arxiv",
    "version": 2
  }
}