Pith Number

pith:3AEE6OYO

pith:2013:3AEE6OYOUGM7ABVQA226BQGSSD

not attested not anchored not stored refs pending

Cluster categories for marked surfaces: punctured case

Yu Qiu, Yu Zhou

arxiv:1311.0010 v3 · 2013-10-31 · math.RT · 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{3AEE6OYOUGM7ABVQA226BQGSSD}

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	2026-05-17T23:53:14.986753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8084f3b0ea199f006b006b5e0c0d290ddb6b00761899c561cf3be5edc52bc56

Aliases

arxiv: 1311.0010 · arxiv_version: 1311.0010v3 · doi: 10.48550/arxiv.1311.0010 · pith_short_12: 3AEE6OYOUGM7 · pith_short_16: 3AEE6OYOUGM7ABVQ · pith_short_8: 3AEE6OYO

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/3AEE6OYOUGM7ABVQA226BQGSSD \
  | 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: d8084f3b0ea199f006b006b5e0c0d290ddb6b00761899c561cf3be5edc52bc56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9469ff9e3a80d2842e3f79797a18c25b7e73a9d3ed64e3a86769bf7b01f899e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-10-31T20:00:02Z",
    "title_canon_sha256": "7258af11853df00fa581d5a94af5ca2c24ca78174f53de76d88b33c4d2378435"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0010",
    "kind": "arxiv",
    "version": 3
  }
}