pith. sign in
Pith Number

pith:ACMEGL4Y

pith:2016:ACMEGL4YV3XNK72SOCOR6DS6VV
not attested not anchored not stored refs pending

Triple planes with p_g=q=0

Daniele Faenzi, Francesco Polizzi, Jean Vall\`es

arxiv:1605.02102 v3 · 2016-05-06 · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ACMEGL4YV3XNK72SOCOR6DS6VV}

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 2026-05-17T23:56:48.846158Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0098432f98aeeed57f52709d1f0e5ead7e9933bbdbbff1aac5ff2fc049eb1ec4

Aliases

arxiv: 1605.02102 · arxiv_version: 1605.02102v3 · doi: 10.48550/arxiv.1605.02102 · pith_short_12: ACMEGL4YV3XN · pith_short_16: ACMEGL4YV3XNK72S · pith_short_8: ACMEGL4Y
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ACMEGL4YV3XNK72SOCOR6DS6VV \
  | 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: 0098432f98aeeed57f52709d1f0e5ead7e9933bbdbbff1aac5ff2fc049eb1ec4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6d33c3729f768dba9caf56ced8233609caff3793cb048548642fcc045be0912b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-06T21:16:05Z",
    "title_canon_sha256": "92cdd324980f277ae982cceff4663c75243b73f1dbd1b9e294f1cda6b126eb6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02102",
    "kind": "arxiv",
    "version": 3
  }
}