Pith Number

pith:UUZKJ73N

pith:2010:UUZKJ73NZI2LWB7L2HETNUE6N5

not attested not anchored not stored refs pending

Inhomogeneous cubic congruences and rational points on del Pezzo surfaces

S. Baier, T.D. Browning

arxiv:1011.3434 v2 · 2010-11-15 · 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{UUZKJ73NZI2LWB7L2HETNUE6N5}

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	2026-05-18T04:14:16.538240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a532a4ff6dca34bb07ebd1c936d09e6f6aa9dd555bb66285a62d1a169da3fe64

Aliases

arxiv: 1011.3434 · arxiv_version: 1011.3434v2 · doi: 10.48550/arxiv.1011.3434 · pith_short_12: UUZKJ73NZI2L · pith_short_16: UUZKJ73NZI2LWB7L · pith_short_8: UUZKJ73N

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/UUZKJ73NZI2LWB7L2HETNUE6N5 \
  | 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: a532a4ff6dca34bb07ebd1c936d09e6f6aa9dd555bb66285a62d1a169da3fe64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b04323e60fcc91eb8d05bd63c8548801d04dc58c0c397b74c8caaafb0589842",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-11-15T16:05:39Z",
    "title_canon_sha256": "80a866421723f3f766fff439911dae6a6c1a725b661b3864dd590a628f2ae5a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3434",
    "kind": "arxiv",
    "version": 2
  }
}