Pith Number

pith:TMGEO76B

pith:2012:TMGEO76BPLHJHP4PM2TRYORLUC

not attested not anchored not stored refs pending

Near-Involutions, the Pillowcase Distribution, and Quadratic Differentials

Rodolfo Rios-Zertuche

arxiv:1209.4333 v2 · 2012-09-19 · math.RT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMGEO76BPLHJHP4PM2TRYORLUC}

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	2026-05-18T03:44:59.812979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b0c477fc17ace93bf8f66a71c3a2ba091fbc1ad9f33ebbb03b08a5ee699db1f

Aliases

arxiv: 1209.4333 · arxiv_version: 1209.4333v2 · doi: 10.48550/arxiv.1209.4333 · pith_short_12: TMGEO76BPLHJ · pith_short_16: TMGEO76BPLHJHP4P · pith_short_8: TMGEO76B

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/TMGEO76BPLHJHP4PM2TRYORLUC \
  | 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: 9b0c477fc17ace93bf8f66a71c3a2ba091fbc1ad9f33ebbb03b08a5ee699db1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94125cb2295d4e06707fee48635df7fc36d480428fecfe3e2d02b5df2df7dfe1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-19T19:04:42Z",
    "title_canon_sha256": "4f50207216a084458bd19b69db4500df8acb0757d8935818c72285061a2416de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4333",
    "kind": "arxiv",
    "version": 2
  }
}