Pith Number

pith:TSCMTEQQ

pith:2010:TSCMTEQQ433LWD735HYBALJMUC

not attested not anchored not stored refs pending

Positivity and vanishing theorems for ample vector bundles

Kefeng Liu, Xiaofeng Sun, Xiaokui Yang

arxiv:1006.1465 v3 · 2010-06-08 · math.DG · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TSCMTEQQ433LWD735HYBALJMUC}

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	2026-05-18T04:25:28.328338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c84c99210e6f6bb0ffbe9f0102d2ca08941571628938a11765e6c1f7679150e

Aliases

arxiv: 1006.1465 · arxiv_version: 1006.1465v3 · doi: 10.48550/arxiv.1006.1465 · pith_short_12: TSCMTEQQ433L · pith_short_16: TSCMTEQQ433LWD73 · pith_short_8: TSCMTEQQ

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/TSCMTEQQ433LWD735HYBALJMUC \
  | 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: 9c84c99210e6f6bb0ffbe9f0102d2ca08941571628938a11765e6c1f7679150e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9566f3124edc84992cb280ce96c1c5e18510c8313d9ab1eb753d13143e6a3f0c",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-06-08T06:41:26Z",
    "title_canon_sha256": "a28344902024e75d30722587eb9287a05087e5fe945a11b7dee5a486f7439cb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1465",
    "kind": "arxiv",
    "version": 3
  }
}