Pith Number

pith:YBU6I6IC

pith:2010:YBU6I6ICQDGEFFNEJJTPPLWO3E

not attested not anchored not stored refs pending

Shimura correspondence for level $p^2$ and the central values of $L$-series II

Ariel Pacetti, Gonzalo Tornar\'ia

arxiv:1005.5135 v2 · 2010-05-27 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YBU6I6ICQDGEFFNEJJTPPLWO3E}

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	2026-05-18T02:55:18.894327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c069e4790280cc4295a44a66f7aeced91e3c35701a6ae696e099cd601aea6e7b

Aliases

arxiv: 1005.5135 · arxiv_version: 1005.5135v2 · doi: 10.48550/arxiv.1005.5135 · pith_short_12: YBU6I6ICQDGE · pith_short_16: YBU6I6ICQDGEFFNE · pith_short_8: YBU6I6IC

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/YBU6I6ICQDGEFFNEJJTPPLWO3E \
  | 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: c069e4790280cc4295a44a66f7aeced91e3c35701a6ae696e099cd601aea6e7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c26ffec324953d060126dc0c6f2b78fcfaf392ac825712690924fee6b0692352",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-05-27T18:01:29Z",
    "title_canon_sha256": "01148c0a75680555da7e626e3abe4d1adbe962b12b8d812bfef50b047b9654c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5135",
    "kind": "arxiv",
    "version": 2
  }
}