Pith Number

pith:6ZSBIA6E

pith:2013:6ZSBIA6ELJ7I5TRHIPPRH5BOCV

not attested not anchored not stored refs pending

Dirichlet series associated to quartic fields with given resolvent

Frank Thorne, Henri Cohen

arxiv:1302.5728 v1 · 2013-02-22 · 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{6ZSBIA6ELJ7I5TRHIPPRH5BOCV}

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	2026-05-18T03:32:44.075891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6641403c45a7e8ece2743df13f42e15638c1bcb447620f669e84b66f0a3dbbe

Aliases

arxiv: 1302.5728 · arxiv_version: 1302.5728v1 · doi: 10.48550/arxiv.1302.5728 · pith_short_12: 6ZSBIA6ELJ7I · pith_short_16: 6ZSBIA6ELJ7I5TRH · pith_short_8: 6ZSBIA6E

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/6ZSBIA6ELJ7I5TRHIPPRH5BOCV \
  | 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: f6641403c45a7e8ece2743df13f42e15638c1bcb447620f669e84b66f0a3dbbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2904650d7729c43568d4e3d30c6ddb73ccf9881cc8063509a7020d5033de94b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-22T22:35:26Z",
    "title_canon_sha256": "1eb78238d59967e7278937bef9ccfa0b7e68daa1230f898b3a72fa0e91f609ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5728",
    "kind": "arxiv",
    "version": 1
  }
}