Pith Number

pith:VZHVCLZL

pith:2018:VZHVCLZLCQWBAXIJPQZIFE73L4

not attested not anchored not stored refs pending

Stable rationality in smooth families of threefolds

Andrew Kresch, Brendan Hassett, Yuri Tschinkel

arxiv:1802.06107 v1 · 2018-02-16 · 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{VZHVCLZLCQWBAXIJPQZIFE73L4}

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	2026-05-18T00:23:04.454688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae4f512f2b142c105d097c328293fb5f04ffb352098c5828082b2ca080719ab1

Aliases

arxiv: 1802.06107 · arxiv_version: 1802.06107v1 · doi: 10.48550/arxiv.1802.06107 · pith_short_12: VZHVCLZLCQWB · pith_short_16: VZHVCLZLCQWBAXIJ · pith_short_8: VZHVCLZL

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/VZHVCLZLCQWBAXIJPQZIFE73L4 \
  | 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: ae4f512f2b142c105d097c328293fb5f04ffb352098c5828082b2ca080719ab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7c6b864a7a73cca714a5003f62fdb84ed9a5e03e9aec62b801005cef3e1d936",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-02-16T20:22:16Z",
    "title_canon_sha256": "7d91aae502207dd724be622239b4e6650a82d50fce192958193c95c92804e640"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06107",
    "kind": "arxiv",
    "version": 1
  }
}