Pith Number

pith:536KGXX5

pith:2009:536KGXX5AXV47YFVYVJ26QYA2K

not attested not anchored not stored refs pending

Correspondences in Arakelov geometry and applications to the case of Hecke operators on modular curves

Ricardo Menares

arxiv:0911.0546 v3 · 2009-11-03 · math.NT · 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{536KGXX5AXV47YFVYVJ26QYA2K}

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	2026-05-18T02:24:46.452956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eefca35efd05ebcfe0b5c553af4300d296b5425b3d04761ff692e5165ca2eee5

Aliases

arxiv: 0911.0546 · arxiv_version: 0911.0546v3 · doi: 10.48550/arxiv.0911.0546 · pith_short_12: 536KGXX5AXV4 · pith_short_16: 536KGXX5AXV47YFV · pith_short_8: 536KGXX5

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/536KGXX5AXV47YFVYVJ26QYA2K \
  | 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: eefca35efd05ebcfe0b5c553af4300d296b5425b3d04761ff692e5165ca2eee5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa465642699c2877a38aa2ead2f8af6a099cab5e5bf72611116e79f5652227b1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-11-03T10:58:09Z",
    "title_canon_sha256": "fbf585dbd6d934245c37373143081e5a699cb70c9b794b2f1ecf9d8339db90c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0546",
    "kind": "arxiv",
    "version": 3
  }
}