Pith Number

pith:CADOCIEN

pith:2017:CADOCIENCL72REKQWQZIQQN3X7

not attested not anchored not stored refs pending

Obstructions to integral points on affine Ch\^atelet surfaces

Jennifer Berg

arxiv:1710.07969 v1 · 2017-10-22 · 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{CADOCIENCL72REKQWQZIQQN3X7}

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.

Cited by

1 paper in Pith

Bateman-Horn, polynomial Chowla and the Hasse principle with probability 1

Receipt and verification

First computed	2026-05-18T00:32:19.300083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1006e1208d12ffa89150b4328841bbbff9156b5fe23a3ec68e94721f9c56b19b

Aliases

arxiv: 1710.07969 · arxiv_version: 1710.07969v1 · doi: 10.48550/arxiv.1710.07969 · pith_short_12: CADOCIENCL72 · pith_short_16: CADOCIENCL72REKQ · pith_short_8: CADOCIEN

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/CADOCIENCL72REKQWQZIQQN3X7 \
  | 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: 1006e1208d12ffa89150b4328841bbbff9156b5fe23a3ec68e94721f9c56b19b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09df6d3cf1c525457f022bd4b3268725bd8db05c7e9d8b5b24f3c3833b0f070b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-22T16:03:51Z",
    "title_canon_sha256": "aa11c935634770d44647566b5781c206758a103a04794204754f7bfbc102c507"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07969",
    "kind": "arxiv",
    "version": 1
  }
}