Pith Number

pith:MBWQ5FUH

pith:2012:MBWQ5FUHGBYKOGIO3CBCDP4MTL

not attested not anchored not stored refs pending

On the analytic properties of a cubic Dirichlet series associated to a cubic metaplectic form

P. Edward Herman

arxiv:1208.1705 v2 · 2012-08-08 · 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{MBWQ5FUHGBYKOGIO3CBCDP4MTL}

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	2026-05-18T03:13:56.258723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

606d0e96873070a7190ed88221bf8c9afba249fa6e82eb267a91fd9b65c38366

Aliases

arxiv: 1208.1705 · arxiv_version: 1208.1705v2 · doi: 10.48550/arxiv.1208.1705 · pith_short_12: MBWQ5FUHGBYK · pith_short_16: MBWQ5FUHGBYKOGIO · pith_short_8: MBWQ5FUH

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/MBWQ5FUHGBYKOGIO3CBCDP4MTL \
  | 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: 606d0e96873070a7190ed88221bf8c9afba249fa6e82eb267a91fd9b65c38366

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "002ae291eb77e2d7eec8be6af571ea465015717accb3dca30cc9447336097186",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-08T16:38:47Z",
    "title_canon_sha256": "3d9a0c8ea2c9bdca5ecf8180c078c4f1fc825fdf732cea1ec97c40e2bd0fee8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1705",
    "kind": "arxiv",
    "version": 2
  }
}