Pith Number

pith:AVQ2NOHC

pith:2012:AVQ2NOHC5JZBR3DXYT3RELM6QH

not attested not anchored not stored refs pending

Hasse principle and weak approximation for multinorm equations

Cyril Demarche, Dasheng Wei

arxiv:1212.5889 v2 · 2012-12-24 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AVQ2NOHC5JZBR3DXYT3RELM6QH}

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	2026-05-18T03:19:56.659292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0561a6b8e2ea7218ec77c4f7122d9e81e83ce779947a429a131e327e988ea5d7

Aliases

arxiv: 1212.5889 · arxiv_version: 1212.5889v2 · doi: 10.48550/arxiv.1212.5889 · pith_short_12: AVQ2NOHC5JZB · pith_short_16: AVQ2NOHC5JZBR3DX · pith_short_8: AVQ2NOHC

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/AVQ2NOHC5JZBR3DXYT3RELM6QH \
  | 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: 0561a6b8e2ea7218ec77c4f7122d9e81e83ce779947a429a131e327e988ea5d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dc942c1cee4f94a973e3e572b7fcaa1d8f27a7e7f8fda3a7f20d4b3728278b4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-24T10:18:29Z",
    "title_canon_sha256": "200e326fa18ea736128441d1efbb00f82834d8329e1d2cdb9e5c58b200a49d6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5889",
    "kind": "arxiv",
    "version": 2
  }
}