Pith Number

pith:74ROUZSQ

pith:2016:74ROUZSQCEPAA6HS6Q7P4L3G5J

not attested not anchored not stored refs pending

On the non-vanishing of theta liftings of tempered representations of U(p,q)

Hiraku Atobe

arxiv:1610.07794 v1 · 2016-10-25 · math.RT · 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{74ROUZSQCEPAA6HS6Q7P4L3G5J}

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	2026-05-18T01:01:17.554459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff22ea6650111e0078f2f43efe2f66ea7f64fde391099a648fc49c1b7f36f8be

Aliases

arxiv: 1610.07794 · arxiv_version: 1610.07794v1 · doi: 10.48550/arxiv.1610.07794 · pith_short_12: 74ROUZSQCEPA · pith_short_16: 74ROUZSQCEPAA6HS · pith_short_8: 74ROUZSQ

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/74ROUZSQCEPAA6HS6Q7P4L3G5J \
  | 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: ff22ea6650111e0078f2f43efe2f66ea7f64fde391099a648fc49c1b7f36f8be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "885e670741c2f705db7e8df115e2e2fcb355919cb556fe5c3afdc5ee075a9d7f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-10-25T09:09:13Z",
    "title_canon_sha256": "ee0b09c14c851d5a4ac58d33d9027dfd5f5ffb4cc91c15a468b19aebad35f254"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07794",
    "kind": "arxiv",
    "version": 1
  }
}