Pith Number

pith:EBKY6XMY

pith:2010:EBKY6XMYLSH4GIFRVLJX5XYH2K

not attested not anchored not stored refs pending

On the Brauer-Manin obstruction for cubic surfaces

Andreas-Stephan Elsenhans, J\"org Jahnel

arxiv:1011.1430 v1 · 2010-11-05 · 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{EBKY6XMYLSH4GIFRVLJX5XYH2K}

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	2026-05-18T04:36:51.654090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20558f5d985c8fc320b1aad37edf07d291e6d2ada94d58ccad58994fb43fad07

Aliases

arxiv: 1011.1430 · arxiv_version: 1011.1430v1 · doi: 10.48550/arxiv.1011.1430 · pith_short_12: EBKY6XMYLSH4 · pith_short_16: EBKY6XMYLSH4GIFR · pith_short_8: EBKY6XMY

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/EBKY6XMYLSH4GIFRVLJX5XYH2K \
  | 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: 20558f5d985c8fc320b1aad37edf07d291e6d2ada94d58ccad58994fb43fad07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88243e1b2697097674912ab6c4db77738383eef3d92815b8da6a1eeb16d9d7b4",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-05T15:27:31Z",
    "title_canon_sha256": "98ec219b726eadd8674d877628a534188856d1e21392799005b440f8d60426dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1430",
    "kind": "arxiv",
    "version": 1
  }
}