Pith Number

pith:QUY7VTM5

pith:2013:QUY7VTM566BVVGQ4Q5PVAIQESA

not attested not anchored not stored refs pending

A vanishing theorem and symbolic powers of planar point ideals

Halszka Tutaj-Gasinska, Marcin Dumnicki, Tomasz Szemberg

arxiv:1302.0871 v1 · 2013-02-04 · 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{QUY7VTM566BVVGQ4Q5PVAIQESA}

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	2026-05-17T23:53:35.785357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8531facd9df7835a9a1c875f5022049015c61ea11474af527b040766dc5f04ea

Aliases

arxiv: 1302.0871 · arxiv_version: 1302.0871v1 · doi: 10.48550/arxiv.1302.0871 · pith_short_12: QUY7VTM566BV · pith_short_16: QUY7VTM566BVVGQ4 · pith_short_8: QUY7VTM5

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/QUY7VTM566BVVGQ4Q5PVAIQESA \
  | 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: 8531facd9df7835a9a1c875f5022049015c61ea11474af527b040766dc5f04ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0072ca79bb3df3525dfc01ad0e215d53918d0dd18349f39be9599785a3853d44",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-02-04T21:29:26Z",
    "title_canon_sha256": "d23bd3d60482264198d8457c1e40ffb0601335bf7835de54da1ce1b8432538b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0871",
    "kind": "arxiv",
    "version": 1
  }
}