Pith Number

pith:S334OW63

pith:2010:S334OW63VDSEUUUIH4T7HT3BKM

not attested not anchored not stored refs pending

A Vanishing Theorem and Asymptotic Regularity of Powers of Ideal Sheaves

Wenbo Niu

arxiv:1009.0314 v3 · 2010-09-02 · 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{S334OW63VDSEUUUIH4T7HT3BKM}

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	2026-05-18T04:20:05.512940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96f7c75bdba8e44a52883f27f3cf615319fa41c991c4e015350f48e4d3918ce5

Aliases

arxiv: 1009.0314 · arxiv_version: 1009.0314v3 · doi: 10.48550/arxiv.1009.0314 · pith_short_12: S334OW63VDSE · pith_short_16: S334OW63VDSEUUUI · pith_short_8: S334OW63

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/S334OW63VDSEUUUIH4T7HT3BKM \
  | 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: 96f7c75bdba8e44a52883f27f3cf615319fa41c991c4e015350f48e4d3918ce5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0025280d55bbbc3b3c17b8cd3b48b39f5cd3099685a1779b30d8cbc46bc2e47",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-02T01:20:25Z",
    "title_canon_sha256": "f0db4fe861fe8b8c140d5087207fb071b9f70a3989585ee93863ae4b96f724be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0314",
    "kind": "arxiv",
    "version": 3
  }
}