Pith Number

pith:N6XUYLGZ

pith:2011:N6XUYLGZPTM6MTENG7332HV4A7

not attested not anchored not stored refs pending

Hilbert functions of fat point subschemes of the plane: the two-fold way

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

arxiv:1101.5140 v1 · 2011-01-26 · 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{N6XUYLGZPTM6MTENG7332HV4A7}

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	2026-05-18T04:30:46.735245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6faf4c2cd97cd9e64c8d37f7bd1ebc07d153b3824a3be08ed4b2fb469525f01d

Aliases

arxiv: 1101.5140 · arxiv_version: 1101.5140v1 · doi: 10.48550/arxiv.1101.5140 · pith_short_12: N6XUYLGZPTM6 · pith_short_16: N6XUYLGZPTM6MTEN · pith_short_8: N6XUYLGZ

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/N6XUYLGZPTM6MTENG7332HV4A7 \
  | 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: 6faf4c2cd97cd9e64c8d37f7bd1ebc07d153b3824a3be08ed4b2fb469525f01d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60b4d083c16bd37a356137e5ab948cfce59fdcb20766e2ab9833b29643f1c8f0",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-26T19:56:47Z",
    "title_canon_sha256": "f462b543d2b905a73c0254062a742731291f1777e037cdfecfd9ebc1b8d6b239"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5140",
    "kind": "arxiv",
    "version": 1
  }
}