Pith Number

pith:SFTMX3DB

pith:2011:SFTMX3DBPS5V563G3DQNEO2DNK

not attested not anchored not stored refs pending

Explicit Teichm\"uller curves with complemetary series

Carlos Matheus, Gabriela Weitze-Schmith\"usen

arxiv:1109.0517 v3 · 2011-09-02 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SFTMX3DBPS5V563G3DQNEO2DNK}

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	2026-05-18T02:45:56.164274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9166cbec617cbb5efb66d8e0d23b436aa6e18193f1900386bd01f095e127611c

Aliases

arxiv: 1109.0517 · arxiv_version: 1109.0517v3 · doi: 10.48550/arxiv.1109.0517 · pith_short_12: SFTMX3DBPS5V · pith_short_16: SFTMX3DBPS5V563G · pith_short_8: SFTMX3DB

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/SFTMX3DBPS5V563G3DQNEO2DNK \
  | 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: 9166cbec617cbb5efb66d8e0d23b436aa6e18193f1900386bd01f095e127611c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb2531847f482e915e90cb1fdcecc3b4e184122fc6375c7dcd0e5e63c378028d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-09-02T18:33:14Z",
    "title_canon_sha256": "44197aef779c0868e0c721fd688dd1f11f8a5b094b23bf449bbd4f50d1b3746f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0517",
    "kind": "arxiv",
    "version": 3
  }
}