Pith Number

pith:74LEREWS

pith:2009:74LEREWSXT4S5VKZLIRX6IKFPM

not attested not anchored not stored refs pending

A Borel open cover of the Hilbert scheme

Cristina Bertone, Margherita Roggero, Paolo Lella

arxiv:0909.2184 v5 · 2009-09-11 · 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{74LEREWSXT4S5VKZLIRX6IKFPM}

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	2026-05-18T03:36:56.893979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff164892d2bcf92ed5595a237f21457b0d1735f4e14ce473c4aff74845a8d3c9

Aliases

arxiv: 0909.2184 · arxiv_version: 0909.2184v5 · doi: 10.48550/arxiv.0909.2184 · pith_short_12: 74LEREWSXT4S · pith_short_16: 74LEREWSXT4S5VKZ · pith_short_8: 74LEREWS

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/74LEREWSXT4S5VKZLIRX6IKFPM \
  | 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: ff164892d2bcf92ed5595a237f21457b0d1735f4e14ce473c4aff74845a8d3c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fc1251ad680ff7557f68e9a9b28f04b20b27b5aaa02c5f04a54cfd7fd258825",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-09-11T14:48:06Z",
    "title_canon_sha256": "1018fff69864068ceddd5ba061183b3bab004c8be64fd71d224d8ae3160130c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2184",
    "kind": "arxiv",
    "version": 5
  }
}