Pith Number

pith:QNQCKCHA

pith:2010:QNQCKCHAVICZYNO4IYMSTKM4XV

not attested not anchored not stored refs pending

Local spectral equidistribution for Siegel modular forms and applications

Abhishek Saha, Emmanuel Kowalski, Jacob Tsimerman

arxiv:1010.3648 v4 · 2010-10-18 · 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{QNQCKCHAVICZYNO4IYMSTKM4XV}

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	2026-05-17T23:53:36.850963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83602508e0aa059c35dc461929a99cbd43399df2856e81c5d672d4786234f2fd

Aliases

arxiv: 1010.3648 · arxiv_version: 1010.3648v4 · doi: 10.48550/arxiv.1010.3648 · pith_short_12: QNQCKCHAVICZ · pith_short_16: QNQCKCHAVICZYNO4 · pith_short_8: QNQCKCHA

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/QNQCKCHAVICZYNO4IYMSTKM4XV \
  | 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: 83602508e0aa059c35dc461929a99cbd43399df2856e81c5d672d4786234f2fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8698129c0568e6323a076b82e77cbd3f10ef8b7facd522ed1b4ff8698e698c39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-10-18T16:52:01Z",
    "title_canon_sha256": "ac21746d7d8d95eb620121befe39f3aae5eda12970fe166655d4b8dfd3126f67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3648",
    "kind": "arxiv",
    "version": 4
  }
}