Pith Number

pith:GYNCQFSQ

pith:2014:GYNCQFSQW4ZOPI5USHVU52VUFZ

not attested not anchored not stored refs pending

Insufficiency of the \'etale Brauer-Manin obstruction: towards a simply connected example

Arne Smeets

arxiv:1409.6706 v2 · 2014-09-23 · 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{GYNCQFSQW4ZOPI5USHVU52VUFZ}

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	2026-05-18T01:25:02.994372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

361a281650b732e7a3b491eb4eeab42e5518f7496c27a23fda7ef01c467f0936

Aliases

arxiv: 1409.6706 · arxiv_version: 1409.6706v2 · doi: 10.48550/arxiv.1409.6706 · pith_short_12: GYNCQFSQW4ZO · pith_short_16: GYNCQFSQW4ZOPI5U · pith_short_8: GYNCQFSQ

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/GYNCQFSQW4ZOPI5USHVU52VUFZ \
  | 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: 361a281650b732e7a3b491eb4eeab42e5518f7496c27a23fda7ef01c467f0936

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71930ec1674e1a19392dac79a030cc2880c9c2e8a9f1ba3ba8989bcc7d907e53",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-23T19:23:58Z",
    "title_canon_sha256": "caab1c5bc69dda60a7e26a48c289aee09640b5eef18a402a933c000213d2411a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6706",
    "kind": "arxiv",
    "version": 2
  }
}