Pith Number

pith:P3GJWG6J

pith:2013:P3GJWG6JY5L6A6LC7RC5J2HCFE

not attested not anchored not stored refs pending

Counting algebraic integers of fixed degree and bounded height

Fabrizio Barroero

arxiv:1305.0482 v3 · 2013-05-02 · 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{P3GJWG6JY5L6A6LC7RC5J2HCFE}

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	2026-05-18T02:43:02.631053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ecc9b1bc9c757e07962fc45d4e8e22900b4c5099ccc05be1abda59bfa96175e

Aliases

arxiv: 1305.0482 · arxiv_version: 1305.0482v3 · doi: 10.48550/arxiv.1305.0482 · pith_short_12: P3GJWG6JY5L6 · pith_short_16: P3GJWG6JY5L6A6LC · pith_short_8: P3GJWG6J

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/P3GJWG6JY5L6A6LC7RC5J2HCFE \
  | 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: 7ecc9b1bc9c757e07962fc45d4e8e22900b4c5099ccc05be1abda59bfa96175e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8be8384038496590cacac307189b8c350a6b521bf4f07b68827438ced838a613",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-02T15:37:19Z",
    "title_canon_sha256": "b9e534b23cd16813ca113e119d4213150a0b9d9d66a892ef29b8601755c63b03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0482",
    "kind": "arxiv",
    "version": 3
  }
}