Pith Number

pith:3WE7PSKU

pith:2014:3WE7PSKU33BUT4LSXYN3G2Q3WQ

not attested not anchored not stored refs pending

An explicit integral representation of Siegel-Whittaker functions on Sp(2,R) for the large discrete series representations

Takayuki Oda, Yasuro Gon

arxiv:1412.8330 v1 · 2014-12-29 · 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{3WE7PSKU33BUT4LSXYN3G2Q3WQ}

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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	2026-05-18T02:30:23.466530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd89f7c954dec349f172be1bb36a1bb4163355a4e637c78f7fc3b3ceeff82d2b

Aliases

arxiv: 1412.8330 · arxiv_version: 1412.8330v1 · doi: 10.48550/arxiv.1412.8330 · pith_short_12: 3WE7PSKU33BU · pith_short_16: 3WE7PSKU33BUT4LS · pith_short_8: 3WE7PSKU

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/3WE7PSKU33BUT4LSXYN3G2Q3WQ \
  | 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: dd89f7c954dec349f172be1bb36a1bb4163355a4e637c78f7fc3b3ceeff82d2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad1d551c9708b729cc1884d332d2c5329b9a2cc9ff8b92061c21f0a656b5a113",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-29T13:14:49Z",
    "title_canon_sha256": "5b4934c148d825f88232a70b50261efac159f5c2d854d1e10b04ee3d151941cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8330",
    "kind": "arxiv",
    "version": 1
  }
}