Pith Number

pith:OZDJXU75

pith:2016:OZDJXU75JZB6ODOOP3GMC2THRZ

not attested not anchored not stored refs pending

Rational points of bounded height on general conic bundle surfaces

Christopher Frei, Daniel Loughran, Efthymios Sofos

arxiv:1609.04330 v2 · 2016-09-14 · 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{OZDJXU75JZB6ODOOP3GMC2THRZ}

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	2026-05-18T00:10:48.094521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76469bd3fd4e43e70dce7eccc16a678e6fd0a6508fe8d32e1fa97eb13ff0ba4d

Aliases

arxiv: 1609.04330 · arxiv_version: 1609.04330v2 · doi: 10.48550/arxiv.1609.04330 · pith_short_12: OZDJXU75JZB6 · pith_short_16: OZDJXU75JZB6ODOO · pith_short_8: OZDJXU75

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/OZDJXU75JZB6ODOOP3GMC2THRZ \
  | 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: 76469bd3fd4e43e70dce7eccc16a678e6fd0a6508fe8d32e1fa97eb13ff0ba4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2604c7e66cd50958959b775620e4859468a397f80bd3a8a95c34137fecf1ce1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-14T16:11:28Z",
    "title_canon_sha256": "0495430317d515b034edca4a56be07e42b2b3f0668c609414a8d2a94afdbd88b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04330",
    "kind": "arxiv",
    "version": 2
  }
}