Pith Number

pith:VRZ4ZUBO

pith:2015:VRZ4ZUBOD4FQPEFMYFU3V7XCJN

not attested not anchored not stored refs pending

The local theta correspondence and the local Gan-Gross-Prasad conjecture for the symplectic-metaplectic case

Hiraku Atobe

arxiv:1502.03528 v3 · 2015-02-12 · 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{VRZ4ZUBOD4FQPEFMYFU3V7XCJN}

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	2026-05-18T00:50:29.962714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac73ccd02e1f0b0790acc169bafee24b6368b18f4fc32ea2c67940e4a9a32fc3

Aliases

arxiv: 1502.03528 · arxiv_version: 1502.03528v3 · doi: 10.48550/arxiv.1502.03528 · pith_short_12: VRZ4ZUBOD4FQ · pith_short_16: VRZ4ZUBOD4FQPEFM · pith_short_8: VRZ4ZUBO

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/VRZ4ZUBOD4FQPEFMYFU3V7XCJN \
  | 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: ac73ccd02e1f0b0790acc169bafee24b6368b18f4fc32ea2c67940e4a9a32fc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6c3de24d3c795c273a74d57d66f1c07a81c050592eb565801c8bad6992536d7",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-02-12T03:58:44Z",
    "title_canon_sha256": "32376d1a80ba7e4fa436dfd499a7e7eb370fc935f96f06bcab5d1eb9ba224158"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03528",
    "kind": "arxiv",
    "version": 3
  }
}