Pith Number

pith:YP44QUR7

pith:2026:YP44QUR7VNUU4FUHTHPIWBMFXX

not attested not anchored not stored refs pending

Recent progress on the geometric Bombieri--Lang conjecture

Junyi Xie

arxiv:2607.02165 v1 · 2026-07-02 · math.AG · math.CV · 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{YP44QUR7VNUU4FUHTHPIWBMFXX}

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	2026-07-03T01:17:43.810739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3f9c8523fab694e168799de8b0585bdff8a852cb01172c399dd410293907610

Aliases

arxiv: 2607.02165 · arxiv_version: 2607.02165v1 · doi: 10.48550/arxiv.2607.02165 · pith_short_12: YP44QUR7VNUU · pith_short_16: YP44QUR7VNUU4FUH · pith_short_8: YP44QUR7

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/YP44QUR7VNUU4FUHTHPIWBMFXX \
  | 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: c3f9c8523fab694e168799de8b0585bdff8a852cb01172c399dd410293907610

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b87276948c9b30b14de431e88dff38ccb49399d1abdc8fc5e7d220e97110cca",
    "cross_cats_sorted": [
      "math.CV",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-02T13:35:49Z",
    "title_canon_sha256": "b91f2ff36ae1393a6b77f6261cc017bb17f8339bf581a06be6784343d40e7c2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02165",
    "kind": "arxiv",
    "version": 1
  }
}