Pith Number

pith:6LTH575F

pith:2013:6LTH575FOR4V4DOPSSVHNSASIT

not attested not anchored not stored refs pending

Weighted Sato-Tate Vertical Distribution of the Satake Parameter of Maass Forms on PGL(N)

Fan Zhou

arxiv:1303.0889 v3 · 2013-03-04 · 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{6LTH575FOR4V4DOPSSVHNSASIT}

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	2026-05-18T00:51:58.591939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2e67effa574795e0dcf94aa76c81244d50f9638d3e16575a41273f08dbe8a27

Aliases

arxiv: 1303.0889 · arxiv_version: 1303.0889v3 · doi: 10.48550/arxiv.1303.0889 · pith_short_12: 6LTH575FOR4V · pith_short_16: 6LTH575FOR4V4DOP · pith_short_8: 6LTH575F

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/6LTH575FOR4V4DOPSSVHNSASIT \
  | 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: f2e67effa574795e0dcf94aa76c81244d50f9638d3e16575a41273f08dbe8a27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1aadc508c4487ad4f2e9277abd84ccc9340c84ab4914492878b4df68f8f5a30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-04T23:15:53Z",
    "title_canon_sha256": "756f0eed40c8ee030d4df994b0b2f7431c28f36e6f953a2a813c975e659a6a32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0889",
    "kind": "arxiv",
    "version": 3
  }
}