Pith Number

pith:C7KV4ACL

pith:2012:C7KV4ACLVGD46SMTALDO6VV536

not attested not anchored not stored refs pending

Quadratic congruences on average and rational points on cubic surfaces

Stephan Baier, Ulrich Derenthal

arxiv:1205.0373 v3 · 2012-05-02 · 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{C7KV4ACLVGD46SMTALDO6VV536}

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	2026-05-18T01:36:31.865965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17d55e004ba987cf499302c6ef56bddfa224cc834e34efbdd3a789cba990d90b

Aliases

arxiv: 1205.0373 · arxiv_version: 1205.0373v3 · doi: 10.48550/arxiv.1205.0373 · pith_short_12: C7KV4ACLVGD4 · pith_short_16: C7KV4ACLVGD46SMT · pith_short_8: C7KV4ACL

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/C7KV4ACLVGD46SMTALDO6VV536 \
  | 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: 17d55e004ba987cf499302c6ef56bddfa224cc834e34efbdd3a789cba990d90b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b04c0169f02d275c95ba5b7c3a97a5e6758b7543dc59622c897ed63b3c027a4b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-02T10:46:44Z",
    "title_canon_sha256": "3477b82105c950c44813f0f7b1d25846d15f21b8ae4c4f31438e9b5a688a559c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0373",
    "kind": "arxiv",
    "version": 3
  }
}