pith. sign in
Pith Number

pith:GFCAK4C2

pith:2016:GFCAK4C24OBXGD5IHGJZL3YWPP
not attested not anchored not stored refs pending

Vojta's Conjecture on Multiple Blowups of $\mathbb{P}^2$ and the $abc$ conjecture

Yu Yasufuku

arxiv:1601.03825 v2 · 2016-01-15 · math.NT · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GFCAK4C24OBXGD5IHGJZL3YWPP}

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 2026-05-18T01:22:05.418547Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

314405705ae383730fa8399395ef167bc69ac484829b4b51535a083bfb195ac5

Aliases

arxiv: 1601.03825 · arxiv_version: 1601.03825v2 · doi: 10.48550/arxiv.1601.03825 · pith_short_12: GFCAK4C24OBX · pith_short_16: GFCAK4C24OBXGD5I · pith_short_8: GFCAK4C2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GFCAK4C24OBXGD5IHGJZL3YWPP \
  | 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: 314405705ae383730fa8399395ef167bc69ac484829b4b51535a083bfb195ac5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fad48cd48fcdccda5eaca5de49eab7e6b4747fa7880949f22c99a179d343756f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-15T06:23:59Z",
    "title_canon_sha256": "ae9db709785d2e288b0b51e619c5c3f816ec77f717e0bc8b1f03d9c79f512e67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03825",
    "kind": "arxiv",
    "version": 2
  }
}