Pith Number

pith:6XI5ZGBG

pith:2011:6XI5ZGBGQ4NGBYH46RCNW5S4XY

not attested not anchored not stored refs pending

Conductors and newforms for non-supercuspidal representations of unramified U(2,1)

Michitaka Miyauchi

arxiv:1112.4899 v1 · 2011-12-21 · 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{6XI5ZGBGQ4NGBYH46RCNW5S4XY}

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	2026-05-18T04:05:56.957833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5d1dc9826871a60e0fcf444db765cbe3ef4bfd2696d53cb02efaea11387167b

Aliases

arxiv: 1112.4899 · arxiv_version: 1112.4899v1 · doi: 10.48550/arxiv.1112.4899 · pith_short_12: 6XI5ZGBGQ4NG · pith_short_16: 6XI5ZGBGQ4NGBYH4 · pith_short_8: 6XI5ZGBG

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/6XI5ZGBGQ4NGBYH46RCNW5S4XY \
  | 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: f5d1dc9826871a60e0fcf444db765cbe3ef4bfd2696d53cb02efaea11387167b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d6a1668c8f14e3c713a7027941fd582239e182bfd0d5c7d993d9d7327b6f9a8",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-12-21T01:00:56Z",
    "title_canon_sha256": "31dc7404235c916421b6bee1423bdedf6e0d802431f02c3c2e5e1dc3efade77a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4899",
    "kind": "arxiv",
    "version": 1
  }
}