Pith Number

pith:CQJOYGK2

pith:2026:CQJOYGK243OI2E7M6ITJCWTUSL

not attested not anchored not stored refs pending

Vanishing theorems for pseudo-effective line bundles

Chenghao Qing, Xiangyu Zhou, Xiankui Meng

arxiv:2602.13821 v2 · 2026-02-14 · 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{CQJOYGK243OI2E7M6ITJCWTUSL}

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	2026-07-13T00:17:07.911916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1412ec195ae6dc8d13ecf226915a7492cd817f72a74111a230dd16bff8e867ac

Aliases

arxiv: 2602.13821 · arxiv_version: 2602.13821v2 · doi: 10.48550/arxiv.2602.13821 · pith_short_12: CQJOYGK243OI · pith_short_16: CQJOYGK243OI2E7M · pith_short_8: CQJOYGK2

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/CQJOYGK243OI2E7M6ITJCWTUSL \
  | 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: 1412ec195ae6dc8d13ecf226915a7492cd817f72a74111a230dd16bff8e867ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "907b1f20ba2118cf8c313973005050e4f7ba025a54d50bff04628c0055f83889",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2026-02-14T15:34:23Z",
    "title_canon_sha256": "271eaf1e66b8e94e8407425db5e24b8ed7599fafbfff8d5ecbe787a7a46dc8d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.13821",
    "kind": "arxiv",
    "version": 2
  }
}