Pith Number

pith:34FZSGDS

pith:2008:34FZSGDSO24QVKLFZJ2WRZVSFO

not attested not anchored not stored refs pending

Classifying Hilbert functions of fat point subschemes in $\mathbb P^2$

A.V. Geramita, B. Harbourne, J. Migliore

arxiv:0803.4113 v3 · 2008-03-28 · 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{34FZSGDSO24QVKLFZJ2WRZVSFO}

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	2026-05-18T04:33:36.750156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df0b99187276b90aa965ca7568e6b22b895391908fde3455702583c36ed7db0a

Aliases

arxiv: 0803.4113 · arxiv_version: 0803.4113v3 · doi: 10.48550/arxiv.0803.4113 · pith_short_12: 34FZSGDSO24Q · pith_short_16: 34FZSGDSO24QVKLF · pith_short_8: 34FZSGDS

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/34FZSGDSO24QVKLFZJ2WRZVSFO \
  | 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: df0b99187276b90aa965ca7568e6b22b895391908fde3455702583c36ed7db0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b23da22e76427f046b7f6d34b46ea21840f89b36b2a86da10e61401970d5e4fa",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-03-28T13:34:45Z",
    "title_canon_sha256": "d575818b41e29205bb07ed88e9733dc24c8bccca92b9e9617bb3d1b10b36fd9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.4113",
    "kind": "arxiv",
    "version": 3
  }
}