Pith Number

pith:T7FM4NIP

pith:2019:T7FM4NIPIYH7WY7QU4BUSSQR4H

not attested not anchored not stored refs pending

Equidistribution of shapes of complex cubic fields of fixed quadratic resolvent

Robert Harron

arxiv:1907.07209 v1 · 2019-07-16 · 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{T7FM4NIPIYH7WY7QU4BUSSQR4H}

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.

Cited by

1 paper in Pith

The shapes of Galois quartic fields

Receipt and verification

First computed	2026-07-05T02:57:37.476308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fcace350f460ffb63f0a703494a11e1c8ec0e59cad5b4781bc2c207008ae3b6

Aliases

arxiv: 1907.07209 · arxiv_version: 1907.07209v1 · doi: 10.48550/arxiv.1907.07209 · pith_short_12: T7FM4NIPIYH7 · pith_short_16: T7FM4NIPIYH7WY7Q · pith_short_8: T7FM4NIP

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/T7FM4NIPIYH7WY7QU4BUSSQR4H \
  | 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: 9fcace350f460ffb63f0a703494a11e1c8ec0e59cad5b4781bc2c207008ae3b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aba60299f31c84ac3761c77dd67cf6205c73afbd157117a59718af10bc276890",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-16T18:31:27Z",
    "title_canon_sha256": "5c4b96d5e89e944c0d22bda8562b6e854d0ff010448e3bea00f116fd46d619a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07209",
    "kind": "arxiv",
    "version": 1
  }
}