Pith Number

pith:SVB7PAIN

pith:2013:SVB7PAINPO5GWVOY3E6RA3XW3A

not attested not anchored not stored refs pending

Dirichlet series associated to cubic fields with given quadratic resolvent

Frank Thorne, Henri Cohen

arxiv:1301.3563 v2 · 2013-01-16 · 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{SVB7PAINPO5GWVOY3E6RA3XW3A}

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	2026-05-18T03:15:57.578280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9543f7810d7bba6b55d8d93d106ef6d811fd047755a86e135294eabadc00d989

Aliases

arxiv: 1301.3563 · arxiv_version: 1301.3563v2 · doi: 10.48550/arxiv.1301.3563 · pith_short_12: SVB7PAINPO5G · pith_short_16: SVB7PAINPO5GWVOY · pith_short_8: SVB7PAIN

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/SVB7PAINPO5GWVOY3E6RA3XW3A \
  | 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: 9543f7810d7bba6b55d8d93d106ef6d811fd047755a86e135294eabadc00d989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "475f9e06e746bac395ce179b9439750c2c798224e55f0bb20f929ee8528b512b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-01-16T02:52:47Z",
    "title_canon_sha256": "fb630e036da1080cb8ea9e370d78a738fe4a20bbc4c0c3b66271dbb39da62bc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3563",
    "kind": "arxiv",
    "version": 2
  }
}