Pith Number

pith:TFAH6AN2

pith:2009:TFAH6AN2SSKGHNULLD6QVDUGNT

not attested not anchored not stored refs pending

On rigid analytic uniformizations of Jacobians of Shimura curves

M. Longo, S. Vigni, V. Rotger

arxiv:0910.3391 v4 · 2009-10-18 · 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{TFAH6AN2SSKGHNULLD6QVDUGNT}

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	2026-05-18T04:39:50.384575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99407f01ba949463b68b58fd0a8e866cfe879663e017ee79a49433440ae923c1

Aliases

arxiv: 0910.3391 · arxiv_version: 0910.3391v4 · doi: 10.48550/arxiv.0910.3391 · pith_short_12: TFAH6AN2SSKG · pith_short_16: TFAH6AN2SSKGHNUL · pith_short_8: TFAH6AN2

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/TFAH6AN2SSKGHNULLD6QVDUGNT \
  | 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: 99407f01ba949463b68b58fd0a8e866cfe879663e017ee79a49433440ae923c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06451f8a8621506d4cb4d8f4eb740c928d3ece021b2df1f30f3d58fa0008ac92",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-10-18T16:53:08Z",
    "title_canon_sha256": "d7127b27ba6b7bc06d774a6b37d06c30729541d0ceb5691ab8f0157360ca711b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.3391",
    "kind": "arxiv",
    "version": 4
  }
}