Pith Number

pith:4ZFSVSPP

pith:2011:4ZFSVSPPZPU5VBJSDSFF5X7W3F

not attested not anchored not stored refs pending

Locally analytic vectors of unitary principal series of GL_2(Qp)

Bingyong Xie, Ruochuan Liu, Yuancao Zhang

arxiv:1103.2543 v3 · 2011-03-13 · 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{4ZFSVSPPZPU5VBJSDSFF5X7W3F}

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	2026-05-18T04:13:39.236265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e64b2ac9efcbe9da85321c8a5edff6d95ab9c8619d95112c7113267842e2bfba

Aliases

arxiv: 1103.2543 · arxiv_version: 1103.2543v3 · doi: 10.48550/arxiv.1103.2543 · pith_short_12: 4ZFSVSPPZPU5 · pith_short_16: 4ZFSVSPPZPU5VBJS · pith_short_8: 4ZFSVSPP

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/4ZFSVSPPZPU5VBJSDSFF5X7W3F \
  | 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: e64b2ac9efcbe9da85321c8a5edff6d95ab9c8619d95112c7113267842e2bfba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e982ed817d4a3c262d5edf9fed96d0f36f0c615c8d2805db6d6f83df99ec551",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-13T19:03:22Z",
    "title_canon_sha256": "425e2e0531c4c097a59f6615a03d568a099dbc1ef33ee03f3d6488ff0eb9eaba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2543",
    "kind": "arxiv",
    "version": 3
  }
}