Pith Number

pith:4LG4226N

pith:2008:4LG4226NWQ2X6ZJCZ4L3ERPS7V

not attested not anchored not stored refs pending

Hilbert schemes of 8 points

Bianca Viray, Daniel Erman, Dustin A. Cartwright, Mauricio Velasco

arxiv:0803.0341 v2 · 2008-03-03 · 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{4LG4226NWQ2X6ZJCZ4L3ERPS7V}

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	2026-05-18T03:50:22.306126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2cdcd6bcdb4357f6522cf17b245f2fd5a9fec1d7291a2d84b3ff69b01420020

Aliases

arxiv: 0803.0341 · arxiv_version: 0803.0341v2 · doi: 10.48550/arxiv.0803.0341 · pith_short_12: 4LG4226NWQ2X · pith_short_16: 4LG4226NWQ2X6ZJC · pith_short_8: 4LG4226N

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/4LG4226NWQ2X6ZJCZ4L3ERPS7V \
  | 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: e2cdcd6bcdb4357f6522cf17b245f2fd5a9fec1d7291a2d84b3ff69b01420020

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38aeb109d4c3180e9f82f35338dceffb587bcce9d50fe5ad1f653a13b403e6df",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-03-03T22:47:19Z",
    "title_canon_sha256": "3ef953abfb2ecd8bfe0c142f46ae497785567a1eb789ec610aae024c2e2a33ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.0341",
    "kind": "arxiv",
    "version": 2
  }
}