Pith Number

pith:BA65Q2P7

pith:2009:BA65Q2P7NIYWL6U4J5OUDKEDXB

not attested not anchored not stored refs pending

Failure of the Hasse principle for Chatelet surfaces in characteristic 2

Bianca Viray

arxiv:0902.3644 v2 · 2009-02-20 · 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{BA65Q2P7NIYWL6U4J5OUDKEDXB}

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	2026-05-18T03:44:13.878433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

083dd869ff6a3165fa9c4f5d41a883b850432b5117839b2a22b846d28392269b

Aliases

arxiv: 0902.3644 · arxiv_version: 0902.3644v2 · doi: 10.48550/arxiv.0902.3644 · pith_short_12: BA65Q2P7NIYW · pith_short_16: BA65Q2P7NIYWL6U4 · pith_short_8: BA65Q2P7

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/BA65Q2P7NIYWL6U4J5OUDKEDXB \
  | 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: 083dd869ff6a3165fa9c4f5d41a883b850432b5117839b2a22b846d28392269b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a727440f1593c971e58477bf7e045e0364a8289c9133df1bec8a76f6ada081fe",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-02-20T19:21:59Z",
    "title_canon_sha256": "e65cd4e95bc43dd65db721aefd18d1946334447bef744f14f602f1aa65af14c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3644",
    "kind": "arxiv",
    "version": 2
  }
}