Pith Number

pith:EK2CG4LK

pith:2021:EK2CG4LKJEA4IWYFMF6LKCV5MT

not attested not anchored not stored refs pending

Non-reducedness of the Hilbert schemes of few points

Micha{\l} Szachniewicz

arxiv:2109.11805 v1 · 2021-09-24 · math.AG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EK2CG4LKJEA4IWYFMF6LKCV5MT}

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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.

Cited by

1 paper in Pith

New components of Hilbert schemes of points and 2-step ideals

Receipt and verification

First computed	2026-07-05T03:17:07.686294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22b423716a4901c45b05617cb50abd64fcfb89876e11231c5ed9d2cd331be474

Aliases

arxiv: 2109.11805 · arxiv_version: 2109.11805v1 · doi: 10.48550/arxiv.2109.11805 · pith_short_12: EK2CG4LKJEA4 · pith_short_16: EK2CG4LKJEA4IWYF · pith_short_8: EK2CG4LK

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/EK2CG4LKJEA4IWYFMF6LKCV5MT \
  | 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: 22b423716a4901c45b05617cb50abd64fcfb89876e11231c5ed9d2cd331be474

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25fa92875ad64e9ab1fa7d4526f1fea3362758f4bd733a7e271a1755afc2d239",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-09-24T08:34:26Z",
    "title_canon_sha256": "1c9acf0b5b7d0d31d8fc22d863a8492bd6c3a1431d88cb053a80dc3f99961ffc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.11805",
    "kind": "arxiv",
    "version": 1
  }
}