Pith Number

pith:IBUWFW4V

pith:2015:IBUWFW4VVY7EBHWPXXKC5CEDGO

not attested not anchored not stored refs pending

Squares in arithmetic progression over cubic fields

Andrew Bremner, Samir Siksek

arxiv:1505.06424 v1 · 2015-05-24 · 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{IBUWFW4VVY7EBHWPXXKC5CEDGO}

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	2026-05-18T02:03:47.291737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

406962db95ae3e409ecfbdd42e8883339c4bcf0291130e25ff542170c6231718

Aliases

arxiv: 1505.06424 · arxiv_version: 1505.06424v1 · doi: 10.48550/arxiv.1505.06424 · pith_short_12: IBUWFW4VVY7E · pith_short_16: IBUWFW4VVY7EBHWP · pith_short_8: IBUWFW4V

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/IBUWFW4VVY7EBHWPXXKC5CEDGO \
  | 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: 406962db95ae3e409ecfbdd42e8883339c4bcf0291130e25ff542170c6231718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "578069b83a35e181cb7b0a36fe1070be17e676cb627805be26cf73db708aa74c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-24T10:56:39Z",
    "title_canon_sha256": "5fd3a1486fd017b7f67bc100f24ed629f5916e05a1f2f65244b50c7b15c4f692"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06424",
    "kind": "arxiv",
    "version": 1
  }
}