Pith Number

pith:MR3GAPVG

pith:2010:MR3GAPVG2J63M6CZNONY6R5IN3

not attested not anchored not stored refs pending

Ordinary varieties and the comparison between multiplier ideals and test ideals

Mircea Mustata, Vasudevan Srinivas

arxiv:1012.2818 v2 · 2010-12-13 · math.AC · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MR3GAPVG2J63M6CZNONY6R5IN3}

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	2026-05-18T04:20:58.992579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6476603ea6d27db678596b9b8f47a86ecefc8a5601223f0d7b589fff2b9d4b03

Aliases

arxiv: 1012.2818 · arxiv_version: 1012.2818v2 · doi: 10.48550/arxiv.1012.2818 · pith_short_12: MR3GAPVG2J63 · pith_short_16: MR3GAPVG2J63M6CZ · pith_short_8: MR3GAPVG

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/MR3GAPVG2J63M6CZNONY6R5IN3 \
  | 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: 6476603ea6d27db678596b9b8f47a86ecefc8a5601223f0d7b589fff2b9d4b03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53e75c6b53ba310c78b8197171431e67a9c18576ef790864fae693b99f21df21",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-12-13T18:02:52Z",
    "title_canon_sha256": "cf9b185a8e94c7ec40f24234b9999a34480629f09d6e998f577ba20164996991"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2818",
    "kind": "arxiv",
    "version": 2
  }
}