Pith Number

pith:ISNST4VN

pith:2014:ISNST4VNVDZMDBOJ4LBHVT76YM

not attested not anchored not stored refs pending

A summation formula for the Rankin-Selberg monoid and a nonabelian trace formula

Jayce R. Getz

arxiv:1409.2360 v5 · 2014-09-08 · 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{ISNST4VNVDZMDBOJ4LBHVT76YM}

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	2026-05-18T00:04:24.529126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

449b29f2ada8f2c185c9e2c27acffec317f8d7eca5ab5cbcf1d6ab398179df89

Aliases

arxiv: 1409.2360 · arxiv_version: 1409.2360v5 · doi: 10.48550/arxiv.1409.2360 · pith_short_12: ISNST4VNVDZM · pith_short_16: ISNST4VNVDZMDBOJ · pith_short_8: ISNST4VN

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/ISNST4VNVDZMDBOJ4LBHVT76YM \
  | 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: 449b29f2ada8f2c185c9e2c27acffec317f8d7eca5ab5cbcf1d6ab398179df89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1718649ffcf370ad8cf0aa2c4f31c6dae5af1172a8ab016a76ec61997d42122c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-08T14:24:04Z",
    "title_canon_sha256": "21219aba1eeadada5e5c167b35a459fa58ad85f1cfcef877dd50599deb0edbf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2360",
    "kind": "arxiv",
    "version": 5
  }
}