Pith Number

pith:H5PLG676

pith:2012:H5PLG676YUFMZW6OY2ZAYHVC43

not attested not anchored not stored refs pending

Hasse Principle for Simply Connected Groups over Function Fields of Surfaces

Yong Hu

arxiv:1203.1075 v4 · 2012-03-05 · math.AG · 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{H5PLG676YUFMZW6OY2ZAYHVC43}

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	2026-05-18T02:40:54.423706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f5eb37bfec50accdbcec6b20c1ea2e6c1926b3c7bf97375ccd1f641c081a93a

Aliases

arxiv: 1203.1075 · arxiv_version: 1203.1075v4 · doi: 10.48550/arxiv.1203.1075 · pith_short_12: H5PLG676YUFM · pith_short_16: H5PLG676YUFMZW6O · pith_short_8: H5PLG676

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/H5PLG676YUFMZW6OY2ZAYHVC43 \
  | 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: 3f5eb37bfec50accdbcec6b20c1ea2e6c1926b3c7bf97375ccd1f641c081a93a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a94301af154a1386036c8cbc38dce5e7876b8ad95c9f7ce62666a1d1035dc036",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-05T23:57:31Z",
    "title_canon_sha256": "2e9e0be90b6395f4313fe2d6f5887db143f9ca2805d4c032dcc2279d851c3494"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1075",
    "kind": "arxiv",
    "version": 4
  }
}