Pith Number

pith:CLIPIC2G

pith:2014:CLIPIC2G34YKQRQKGY4GA5S4K6

not attested not anchored not stored refs pending

The proportion of failures of the Hasse norm principle

Rachel Newton, Tim Browning

arxiv:1411.7775 v1 · 2014-11-28 · 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{CLIPIC2G34YKQRQKGY4GA5S4K6}

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	2026-05-18T01:21:55.827196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12d0f40b46df30a8460a363860765c57b3543f8830277ac360317a2d90defb63

Aliases

arxiv: 1411.7775 · arxiv_version: 1411.7775v1 · doi: 10.48550/arxiv.1411.7775 · pith_short_12: CLIPIC2G34YK · pith_short_16: CLIPIC2G34YKQRQK · pith_short_8: CLIPIC2G

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/CLIPIC2G34YKQRQKGY4GA5S4K6 \
  | 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: 12d0f40b46df30a8460a363860765c57b3543f8830277ac360317a2d90defb63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7de2d80039411e68c4358c74edf8fc418880819167357faa57f650052f86bae0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-11-28T08:11:43Z",
    "title_canon_sha256": "789f1b87b1c4d440c565b422f8dcea574293ebe80612f6af08eb4a30d671fbb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7775",
    "kind": "arxiv",
    "version": 1
  }
}