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Pith Number

pith:56HV4J7W

pith:2017:56HV4J7WNREE7XEWZO7XXD2YJ3
not attested not anchored not stored refs pending

The Hilbert scheme of 11 points in A^3 is irreducible

Bernt Ivar Utst{\o}l N{\o}dland, Joachim Jelisiejew, Theodosios Douvropoulos, Zach Teitler

arxiv:1701.03089 v1 · 2017-01-11 · math.AG · math.AC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{56HV4J7WNREE7XEWZO7XXD2YJ3}

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 2026-05-18T00:52:59.346998Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ef8f5e27f66c484fdc96cbbf7b8f584ec07eafd25df35e645ff316f2afa63e3f

Aliases

arxiv: 1701.03089 · arxiv_version: 1701.03089v1 · doi: 10.48550/arxiv.1701.03089 · pith_short_12: 56HV4J7WNREE · pith_short_16: 56HV4J7WNREE7XEW · pith_short_8: 56HV4J7W
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/56HV4J7WNREE7XEWZO7XXD2YJ3 \
  | 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: ef8f5e27f66c484fdc96cbbf7b8f584ec07eafd25df35e645ff316f2afa63e3f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "544a96264d55407e78e14b150f2ea47fddd74c3f84f4242d9453eb88fba98476",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-11T18:28:49Z",
    "title_canon_sha256": "15f34dce8dd281cf664dce431e87e30c35e9d2dd8f511f5fb51ebe786948b972"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03089",
    "kind": "arxiv",
    "version": 1
  }
}