Pith Number

pith:QJHPCX7G

pith:2015:QJHPCX7GMCQIVNDCPYXJ7YARTG

not attested not anchored not stored refs pending

Modular embeddings of Teichmueller curves

Don Zagier, Martin Moeller

arxiv:1503.05690 v2 · 2015-03-19 · math.NT · math.AG · 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{QJHPCX7GMCQIVNDCPYXJ7YARTG}

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	2026-05-17T23:53:34.581138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

824ef15fe660a08ab4627e2e9fe0119983621928937acae0cde2961968ca4a11

Aliases

arxiv: 1503.05690 · arxiv_version: 1503.05690v2 · doi: 10.48550/arxiv.1503.05690 · pith_short_12: QJHPCX7GMCQI · pith_short_16: QJHPCX7GMCQIVNDC · pith_short_8: QJHPCX7G

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/QJHPCX7GMCQIVNDCPYXJ7YARTG \
  | 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: 824ef15fe660a08ab4627e2e9fe0119983621928937acae0cde2961968ca4a11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64439cc5d0e953956d8f202e645e584a46ec605c8e8bafc46909f4dc25d7854b",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-19T10:09:49Z",
    "title_canon_sha256": "2661988f4a1bfd6d633a7dc806009363a73563aa19258f3d38db0d6fd960c0d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05690",
    "kind": "arxiv",
    "version": 2
  }
}