Pith Number

pith:3R4YDXY5

pith:2011:3R4YDXY5BJUD5GGM6WRMVWEOZ6

not attested not anchored not stored refs pending

On epsilon factors attached to supercuspidal representations of unramified U(2,1)

Michitaka Miyauchi

arxiv:1111.2212 v1 · 2011-11-09 · 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{3R4YDXY5BJUD5GGM6WRMVWEOZ6}

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	2026-05-18T04:08:43.879490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc7981df1d0a683e98ccf5a2cad88ecf8dd247f7cd5e76f17ae806810073b420

Aliases

arxiv: 1111.2212 · arxiv_version: 1111.2212v1 · doi: 10.48550/arxiv.1111.2212 · pith_short_12: 3R4YDXY5BJUD · pith_short_16: 3R4YDXY5BJUD5GGM · pith_short_8: 3R4YDXY5

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/3R4YDXY5BJUD5GGM6WRMVWEOZ6 \
  | 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: dc7981df1d0a683e98ccf5a2cad88ecf8dd247f7cd5e76f17ae806810073b420

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07f6f10f7e20a3cad57e5cab59a593ee74c1ffd09971ce14bd77aac1179b1a83",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-11-09T14:14:50Z",
    "title_canon_sha256": "4b23923deb4256dc3047175c34cdb1c010e47cc0099761fd90779f6e0701d38b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2212",
    "kind": "arxiv",
    "version": 1
  }
}