Pith Number

pith:NN7TT5GP

pith:2012:NN7TT5GPXABO6R3SDZMZJQHERH

not attested not anchored not stored refs pending

Transcendental Brauer elements via descent on elliptic surfaces

Bianca Viray

arxiv:1202.5348 v2 · 2012-02-24 · 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{NN7TT5GPXABO6R3SDZMZJQHERH}

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	2026-05-18T04:01:14.304263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b7f39f4cfb802ef47721e5994c0e489dd43c803009cd86c169da66d8a71b247

Aliases

arxiv: 1202.5348 · arxiv_version: 1202.5348v2 · doi: 10.48550/arxiv.1202.5348 · pith_short_12: NN7TT5GPXABO · pith_short_16: NN7TT5GPXABO6R3S · pith_short_8: NN7TT5GP

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/NN7TT5GPXABO6R3SDZMZJQHERH \
  | 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: 6b7f39f4cfb802ef47721e5994c0e489dd43c803009cd86c169da66d8a71b247

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1edee30cfb51f3eeda44a054e956b6df523faa9c94d70c6eb2a5e42ec707a51d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-24T00:14:46Z",
    "title_canon_sha256": "50e5956d63ea4dedd3d51e67d77de3064cc9e7bb2545682ffd51be9f76c94f07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5348",
    "kind": "arxiv",
    "version": 2
  }
}