Pith Number

pith:3Y5NWASF

pith:2024:3Y5NWASFU6CCDQWHPL52CDU5ML

not attested not anchored not stored refs pending

The geometry of totally geodesic subvarieties of moduli spaces of Riemann surfaces

Alex Wright, Francisco Arana-Herrera

arxiv:2412.16330 v2 · 2024-12-20 · math.GT · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3Y5NWASFU6CCDQWHPL52CDU5ML}

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	2026-07-05T10:52:57.424594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de3adb0245a78421c2c77afba10e9d62ece9f6972cb1c857300d8a82e25281e6

Aliases

arxiv: 2412.16330 · arxiv_version: 2412.16330v2 · doi: 10.48550/arxiv.2412.16330 · pith_short_12: 3Y5NWASFU6CC · pith_short_16: 3Y5NWASFU6CCDQWH · pith_short_8: 3Y5NWASF

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/3Y5NWASFU6CCDQWHPL52CDU5ML \
  | 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: de3adb0245a78421c2c77afba10e9d62ece9f6972cb1c857300d8a82e25281e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "360876de40df1e6902b6b95720740c96b7ab485627e097f854ccd67df74bd415",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-12-20T20:38:22Z",
    "title_canon_sha256": "b08d828b56ab3223695efe125ce53b3ddd681bdb972b0a636304e3e161fedef5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.16330",
    "kind": "arxiv",
    "version": 2
  }
}