Pith Number

pith:7Q4FAUWJ

pith:2012:7Q4FAUWJRDNLXWU7ZGLAWMAHF3

not attested not anchored not stored refs pending

On special zeros of $p$-adic $L$-functions of Hilbert modular forms

Michael Spiess

arxiv:1207.2289 v2 · 2012-07-10 · 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{7Q4FAUWJRDNLXWU7ZGLAWMAHF3}

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	2026-05-18T03:36:15.957133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc385052c988dabbda9fc9960b30072ecda78930d9e9cf246faa6494be146879

Aliases

arxiv: 1207.2289 · arxiv_version: 1207.2289v2 · doi: 10.48550/arxiv.1207.2289 · pith_short_12: 7Q4FAUWJRDNL · pith_short_16: 7Q4FAUWJRDNLXWU7 · pith_short_8: 7Q4FAUWJ

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/7Q4FAUWJRDNLXWU7ZGLAWMAHF3 \
  | 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: fc385052c988dabbda9fc9960b30072ecda78930d9e9cf246faa6494be146879

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f054dc0aa551be2331d8a6e5f52b7f23f3eff6f214ddaa0ff57d50d132ffa39b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-10T10:16:35Z",
    "title_canon_sha256": "b92f2e779fe582822e2f897d0265b99001718d7f0867c18de2614991c19c5241"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2289",
    "kind": "arxiv",
    "version": 2
  }
}