Pith Number

pith:ME53PP62

pith:2009:ME53PP62YLEEFY6IFO5URBT7C5

not attested not anchored not stored refs pending

A Bound for the Castelnuovo-Mumford Regularity of Log Canonical Varieties

Wenbo Niu

arxiv:0912.3311 v2 · 2009-12-17 · 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{ME53PP62YLEEFY6IFO5URBT7C5}

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	2026-05-18T04:30:14.622730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

613bb7bfdac2c842e3c82bbb48867f176f5a7d23cbcbebcbc9f1f08afbc7606b

Aliases

arxiv: 0912.3311 · arxiv_version: 0912.3311v2 · doi: 10.48550/arxiv.0912.3311 · pith_short_12: ME53PP62YLEE · pith_short_16: ME53PP62YLEEFY6I · pith_short_8: ME53PP62

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/ME53PP62YLEEFY6IFO5URBT7C5 \
  | 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: 613bb7bfdac2c842e3c82bbb48867f176f5a7d23cbcbebcbc9f1f08afbc7606b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63fb5abc5bc2d649db8e41fef51e7bc3f4e4dfb18e665456988777331df25322",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-12-17T02:41:57Z",
    "title_canon_sha256": "1219e07d25089a2929b1ecca82c25a83c985ec8597b4035b72dbd8895f2584a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3311",
    "kind": "arxiv",
    "version": 2
  }
}