Pith Number

pith:3SS3K5C7

pith:2025:3SS3K5C7L2HWFDNKGNPSJBYHTG

not attested not anchored not stored refs pending

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

Franco Giovenzana, Luca Giovenzana, Michele Graffeo, Paolo Lella

arxiv:2507.02789 v1 · 2025-07-03 · 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{3SS3K5C7L2HWFDNKGNPSJBYHTG}

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.

Cited by

1 paper in Pith

The one-step Shafarevich gap in embedding dimension five

Receipt and verification

First computed	2026-07-05T11:31:34.663656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dca5b5745f5e8f628daa335f24870799a078ad41d23a74929ad3c7af2ec5c5b0

Aliases

arxiv: 2507.02789 · arxiv_version: 2507.02789v1 · doi: 10.48550/arxiv.2507.02789 · pith_short_12: 3SS3K5C7L2HW · pith_short_16: 3SS3K5C7L2HWFDNK · pith_short_8: 3SS3K5C7

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/3SS3K5C7L2HWFDNKGNPSJBYHTG \
  | 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: dca5b5745f5e8f628daa335f24870799a078ad41d23a74929ad3c7af2ec5c5b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d475e65383292288594010939e3209c1a1e5c5a6f25ec2e26b2eb984b9d9465",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-03T16:54:05Z",
    "title_canon_sha256": "8f62aa2ee38893b0109c47ee67fa7722697cd2667646bee788025c68262b590f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.02789",
    "kind": "arxiv",
    "version": 1
  }
}