Pith Number

pith:JKOB3W4F

pith:2024:JKOB3W4F6E2Z4A6JEQ5F2KXQB7

not attested not anchored not stored refs pending

Injectivity theorems for higher direct images under proper K\"ahler morphisms on snc spaces

Shin-ichi Matsumura, Tsz On Mario Chan, Young-Jun Choi

arxiv:2409.14100 v1 · 2024-09-21 · math.CV · 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{JKOB3W4F6E2Z4A6JEQ5F2KXQB7}

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	2026-07-05T09:10:11.717499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a9c1ddb85f1359e03c9243a5d2af00fd5e3bd6f050d27532d95aa4e18c522e9

Aliases

arxiv: 2409.14100 · arxiv_version: 2409.14100v1 · doi: 10.48550/arxiv.2409.14100 · pith_short_12: JKOB3W4F6E2Z · pith_short_16: JKOB3W4F6E2Z4A6J · pith_short_8: JKOB3W4F

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/JKOB3W4F6E2Z4A6JEQ5F2KXQB7 \
  | 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: 4a9c1ddb85f1359e03c9243a5d2af00fd5e3bd6f050d27532d95aa4e18c522e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cceaea752a3efdcdb2e5598a0efa6b19bf834e2b8cad536cb93667a195348aa9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2024-09-21T10:50:36Z",
    "title_canon_sha256": "37322ebe8a59fdfaf2ee3448d3775807363d8dab04736b7aabb79965ac736543"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.14100",
    "kind": "arxiv",
    "version": 1
  }
}