Pith Number

pith:GOP5U3LE

pith:2021:GOP5U3LE7QSHGZALU2IUASNZH5

not attested not anchored not stored refs pending

On singular Hilbert schemes of points: Local structures and tautological sheaves

Xiaowen Hu

arxiv:2101.05236 v6 · 2021-01-13 · math.AG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GOP5U3LE7QSHGZALU2IUASNZH5}

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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

2 papers in Pith

The Hilbert scheme of points on a threefold: broken Gorenstein structures and linkage

Unrestrictions and concise secant varieties

Receipt and verification

First computed	2026-05-20T14:03:15.395209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

339fda6d64fc2473640ba6914049b93f5fc2a2484c06f2fa50ecee6e8fa7a9a8

Aliases

arxiv: 2101.05236 · arxiv_version: 2101.05236v6 · doi: 10.48550/arxiv.2101.05236 · pith_short_12: GOP5U3LE7QSH · pith_short_16: GOP5U3LE7QSHGZAL · pith_short_8: GOP5U3LE

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/GOP5U3LE7QSHGZALU2IUASNZH5 \
  | 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: 339fda6d64fc2473640ba6914049b93f5fc2a2484c06f2fa50ecee6e8fa7a9a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "162494548dba7e88972f5e4a1a5828b20a1f797e72102cc9fdad4edaff3d2690",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-01-13T17:58:49Z",
    "title_canon_sha256": "60b668e66a380ca8998d8287d22e076ca7a4e8407853ab6a8b4fcbb98d3b5f1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.05236",
    "kind": "arxiv",
    "version": 6
  }
}