Pith Number

pith:H5VORCQD

pith:2018:H5VORCQD6BLQXEPETXKSATCQWF

not attested not anchored not stored refs pending

Generic rank of Betti map and unlikely intersections

Ziyang Gao

arxiv:1810.12929 v6 · 2018-10-30 · 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{H5VORCQD6BLQXEPETXKSATCQWF}

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

On the Zilber-Pink conjecture for complex abelian varieties

Receipt and verification

First computed	2026-07-05T03:43:33.567661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f6ae88a03f0570b91e49dd5204c50b175fe020cfd5cad8d732cd7e142e5a77a

Aliases

arxiv: 1810.12929 · arxiv_version: 1810.12929v6 · doi: 10.48550/arxiv.1810.12929 · pith_short_12: H5VORCQD6BLQ · pith_short_16: H5VORCQD6BLQXEPE · pith_short_8: H5VORCQD

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/H5VORCQD6BLQXEPETXKSATCQWF \
  | 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: 3f6ae88a03f0570b91e49dd5204c50b175fe020cfd5cad8d732cd7e142e5a77a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89bd88d0849e896d61d94437e650732718ff0dea7180d9541005d13873d695cd",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-30T18:01:06Z",
    "title_canon_sha256": "858eceb26ff27ff3045d54c491e70d668304f1219b819dbb3fbc93d5c2a7384c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12929",
    "kind": "arxiv",
    "version": 6
  }
}