Pith Number

pith:L2UWV72Z

pith:2013:L2UWV72ZDI5AFHNCMSLT3JYJTH

not attested not anchored not stored refs pending

The Teichm\"uller and Riemann Moduli Stacks

Laurent Meersseman

arxiv:1311.4170 v4 · 2013-11-17 · math.CV · 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{L2UWV72ZDI5AFHNCMSLT3JYJTH}

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	2026-05-18T00:13:08.396185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ea96aff591a3a029da264973da70999e90c73997daad721887a929a71d21c34

Aliases

arxiv: 1311.4170 · arxiv_version: 1311.4170v4 · doi: 10.48550/arxiv.1311.4170 · pith_short_12: L2UWV72ZDI5A · pith_short_16: L2UWV72ZDI5AFHNC · pith_short_8: L2UWV72Z

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/L2UWV72ZDI5AFHNCMSLT3JYJTH \
  | 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: 5ea96aff591a3a029da264973da70999e90c73997daad721887a929a71d21c34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e94d65a6b6a01cae515eb542631cef95275d42626b61342609d93f903c381ed5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-11-17T15:28:39Z",
    "title_canon_sha256": "8e9d8cbe9f8dcb9800f1d3610e0117b74e0c22b68a2dcac87a09fb38b08031d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4170",
    "kind": "arxiv",
    "version": 4
  }
}