Pith Number

pith:P537R4JJ

pith:2009:P537R4JJU5CRXW5BB4IJ4K3UY5

not attested not anchored not stored refs pending

Higher regularizations for zeros of cuspidal automorphic L-functions of GL_d

Masato Wakayama, Yoshinori Yamasaki

arxiv:0909.4925 v3 · 2009-09-27 · 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{P537R4JJU5CRXW5BB4IJ4K3UY5}

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	2026-05-18T03:39:05.593130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f77f8f129a7451bdba10f109e2b74c775f6bd17d4e68ca87740f90954fc5b0c

Aliases

arxiv: 0909.4925 · arxiv_version: 0909.4925v3 · doi: 10.48550/arxiv.0909.4925 · pith_short_12: P537R4JJU5CR · pith_short_16: P537R4JJU5CRXW5B · pith_short_8: P537R4JJ

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/P537R4JJU5CRXW5BB4IJ4K3UY5 \
  | 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: 7f77f8f129a7451bdba10f109e2b74c775f6bd17d4e68ca87740f90954fc5b0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04bf6bb5972e1d5c737f2e26ff2370eda19ea07e7163476bb52bf2f1b1824061",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-09-27T09:24:05Z",
    "title_canon_sha256": "1af9eae6b8d4e12b6abbc51f857414e70f18acd3a2ca3ce6462cb37d6d2bb69a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4925",
    "kind": "arxiv",
    "version": 3
  }
}