Pith Number

pith:H5NITUVE

pith:2016:H5NITUVEHWXEA3T4FR5BEAHNGM

not attested not anchored not stored refs pending

Injectivity theorems with multiplier ideal sheaves for higher direct images under K"ahler morphisms

Shin-ichi Matsumura

arxiv:1607.05554 v2 · 2016-07-19 · math.CV · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H5NITUVEHWXEA3T4FR5BEAHNGM}

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	2026-05-18T00:25:05.892665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f5a89d2a43dae406e7c2c7a1200ed3336f90d79d40b04f43a37c4052b6b5257

Aliases

arxiv: 1607.05554 · arxiv_version: 1607.05554v2 · doi: 10.48550/arxiv.1607.05554 · pith_short_12: H5NITUVEHWXE · pith_short_16: H5NITUVEHWXEA3T4 · pith_short_8: H5NITUVE

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/H5NITUVEHWXEA3T4FR5BEAHNGM \
  | 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: 3f5a89d2a43dae406e7c2c7a1200ed3336f90d79d40b04f43a37c4052b6b5257

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dc725eabc60e6c66f4c33d0e5e39d86c7d8ccb02b2be78b3c19cfe43faca4f6",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-07-19T12:42:39Z",
    "title_canon_sha256": "9efcdec57c662a183608fa20da9c7b61667c38e9d93c67290f6ad9fb2c3ce6e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05554",
    "kind": "arxiv",
    "version": 2
  }
}