Pith Number

pith:N5HIYIZ6

pith:2018:N5HIYIZ6GCY3QULKSQEGAG6ESW

not attested not anchored not stored refs pending

Formulas for Chebotarev densities of Galois extensions of number fields

Katharine Woo, Naomi Sweeting

arxiv:1807.01744 v1 · 2018-07-04 · 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{N5HIYIZ6GCY3QULKSQEGAG6ESW}

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	2026-05-18T00:11:28.744052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f4e8c233e30b1b8516a9408601bc495820cbe8ba1f0b93a8c8c92ef681bc920

Aliases

arxiv: 1807.01744 · arxiv_version: 1807.01744v1 · doi: 10.48550/arxiv.1807.01744 · pith_short_12: N5HIYIZ6GCY3 · pith_short_16: N5HIYIZ6GCY3QULK · pith_short_8: N5HIYIZ6

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/N5HIYIZ6GCY3QULKSQEGAG6ESW \
  | 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: 6f4e8c233e30b1b8516a9408601bc495820cbe8ba1f0b93a8c8c92ef681bc920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09645eb749ffe1f26c0472200d78782659661e42bc5d628cacbd1bbd1c45976a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-04T19:04:46Z",
    "title_canon_sha256": "745ae1dc6d9fec601b6f1f34d747cd4e89bdf0fcec60b4495ee993250ebf83f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01744",
    "kind": "arxiv",
    "version": 1
  }
}