Pith Number

pith:D326ZJPO

pith:2017:D326ZJPOW2M6ZIF4WGM4PUSMRN

not attested not anchored not stored refs pending

Weights, raising and lowering operators, and K-types for automorphic forms on SL(3,R)

Jack Buttcane, Stephen D. Miller

arxiv:1702.08851 v1 · 2017-02-28 · 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{D326ZJPOW2M6ZIF4WGM4PUSMRN}

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	2026-05-18T00:49:47.739650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ef5eca5eeb699eca0bcb199c7d24c8b5c3c67b595052ba0399617bdf09af265

Aliases

arxiv: 1702.08851 · arxiv_version: 1702.08851v1 · doi: 10.48550/arxiv.1702.08851 · pith_short_12: D326ZJPOW2M6 · pith_short_16: D326ZJPOW2M6ZIF4 · pith_short_8: D326ZJPO

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/D326ZJPOW2M6ZIF4WGM4PUSMRN \
  | 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: 1ef5eca5eeb699eca0bcb199c7d24c8b5c3c67b595052ba0399617bdf09af265

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d85caa06d2d18d241f2660f9b14dd48dc220b6bf3979b08fdd7e89ef997b05f6",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-02-28T16:36:17Z",
    "title_canon_sha256": "c3d6600ecd359a2ce4cfc3de03d9284b2d6b278b8c78796111290a9c32d38a89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08851",
    "kind": "arxiv",
    "version": 1
  }
}