Pith Number

pith:57PB3GS3

pith:2015:57PB3GS3G7X7MOVSGNGGGBSJQS

not attested not anchored not stored refs pending

Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n,R)/SO(n)

Jasmin Matz, Nicolas Templier

arxiv:1505.07285 v8 · 2015-05-27 · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{57PB3GS3G7X7MOVSGNGGGBSJQS}

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	2026-07-05T03:23:35.055351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efde1d9a5b37eff63ab2334c630649849e68133d4e0e85c4d125ee906d3dbcc9

Aliases

arxiv: 1505.07285 · arxiv_version: 1505.07285v8 · doi: 10.48550/arxiv.1505.07285 · pith_short_12: 57PB3GS3G7X7 · pith_short_16: 57PB3GS3G7X7MOVS · pith_short_8: 57PB3GS3

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/57PB3GS3G7X7MOVSGNGGGBSJQS \
  | 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: efde1d9a5b37eff63ab2334c630649849e68133d4e0e85c4d125ee906d3dbcc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3af1607b39510850168db33ef8caa9857fdaed30421968a8ddc18b49728a5482",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-27T12:25:54Z",
    "title_canon_sha256": "57aafb26ce4a3ac378195822de829a82f6d9b4c6673a56e6a89b1610e540680e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07285",
    "kind": "arxiv",
    "version": 8
  }
}