Pith Number

pith:6Q7RSQKP

pith:2011:6Q7RSQKPYXJWLMXMJPE4WO7PCN

not attested not anchored not stored refs pending

Cohomology of U(2,1) representation varieties of surface groups

Graeme Wilkin, Richard A. Wentworth

arxiv:1109.0197 v1 · 2011-09-01 · 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{6Q7RSQKPYXJWLMXMJPE4WO7PCN}

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	2026-05-18T02:58:00.561206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f43f19414fc5d365b2ec4bc9cb3bef136afe4e2301465e7d2e6b1a341b35dd61

Aliases

arxiv: 1109.0197 · arxiv_version: 1109.0197v1 · doi: 10.48550/arxiv.1109.0197 · pith_short_12: 6Q7RSQKPYXJW · pith_short_16: 6Q7RSQKPYXJWLMXM · pith_short_8: 6Q7RSQKP

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/6Q7RSQKPYXJWLMXMJPE4WO7PCN \
  | 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: f43f19414fc5d365b2ec4bc9cb3bef136afe4e2301465e7d2e6b1a341b35dd61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cfe93d56ec3329998e461eb8577230e90096e2fa789140dac345de303da7e16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-01T14:43:15Z",
    "title_canon_sha256": "23d111fe4adc5ede8d9bc885319141f67ab57e2b65ebe9c2f1c335c2d3e6a52e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0197",
    "kind": "arxiv",
    "version": 1
  }
}