pith. sign in
Pith Number

pith:MYEWGY44

pith:2015:MYEWGY44Q5VHZ7JYNMNTVBC4QR
not attested not anchored not stored refs pending

Affine-ruled varieties without the Laurent cancellation property

Adrien Dubouloz (IMB), Pierre-Marie Poloni

arxiv:1509.07803 v1 · 2015-09-25 · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MYEWGY44Q5VHZ7JYNMNTVBC4QR}

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 2026-05-18T00:15:59.656203Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

660963639c876a7cfd386b1b3a845c84784b2c29035ea6048f900d6f2523a1b5

Aliases

arxiv: 1509.07803 · arxiv_version: 1509.07803v1 · doi: 10.48550/arxiv.1509.07803 · pith_short_12: MYEWGY44Q5VH · pith_short_16: MYEWGY44Q5VHZ7JY · pith_short_8: MYEWGY44
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MYEWGY44Q5VHZ7JYNMNTVBC4QR \
  | 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: 660963639c876a7cfd386b1b3a845c84784b2c29035ea6048f900d6f2523a1b5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e6413d5c157cd4d41e6ded4a163b84f0d999b214b86503cf4747fb038ca8f9f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-25T17:37:08Z",
    "title_canon_sha256": "db5cb21148db0d4ec51c9994a6b8bd7050f8f5892e849ebbd28995f34adafd58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07803",
    "kind": "arxiv",
    "version": 1
  }
}