Pith Number

pith:BBTJMHL2

pith:2011:BBTJMHL2WEUNQSW5CXZ7NDO65K

not attested not anchored not stored refs pending

A quadratic large sieve inequality over number fields

Benoit Louvel, Leo Goldmakher

arxiv:1112.1642 v2 · 2011-12-07 · 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{BBTJMHL2WEUNQSW5CXZ7NDO65K}

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	2026-05-18T03:54:37.423943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0866961d7ab128d84add15f3f68ddeea97a5bac007c51602b928eca47eb69aba

Aliases

arxiv: 1112.1642 · arxiv_version: 1112.1642v2 · doi: 10.48550/arxiv.1112.1642 · pith_short_12: BBTJMHL2WEUN · pith_short_16: BBTJMHL2WEUNQSW5 · pith_short_8: BBTJMHL2

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/BBTJMHL2WEUNQSW5CXZ7NDO65K \
  | 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: 0866961d7ab128d84add15f3f68ddeea97a5bac007c51602b928eca47eb69aba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebdf579664ce5f2eb6aeafa37271aa28b3d97a346a477977da73337bf2e4b3c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-07T17:40:45Z",
    "title_canon_sha256": "6cfe3a8787a76332863311e9d00e0b3695d7665f78e13252f10c3c486b38e6de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1642",
    "kind": "arxiv",
    "version": 2
  }
}