Pith Number

pith:EQM2P463

pith:2015:EQM2P463PFVKDQYIJ4OJ5D5TWJ

not attested not anchored not stored refs pending

Injectivity theorems with multiplier ideal sheaves and their applications

Shin-ichi Matsumura

arxiv:1511.04226 v1 · 2015-11-13 · 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{EQM2P463PFVKDQYIJ4OJ5D5TWJ}

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	2026-05-18T01:26:59.385468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2419a7f3db796aa1c3084f1c9e8fb3b259b9e42d77c135bdf5c4ffd8d5cd7647

Aliases

arxiv: 1511.04226 · arxiv_version: 1511.04226v1 · doi: 10.48550/arxiv.1511.04226 · pith_short_12: EQM2P463PFVK · pith_short_16: EQM2P463PFVKDQYI · pith_short_8: EQM2P463

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/EQM2P463PFVKDQYIJ4OJ5D5TWJ \
  | 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: 2419a7f3db796aa1c3084f1c9e8fb3b259b9e42d77c135bdf5c4ffd8d5cd7647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c98f08fe247d35469ce2c10582ea3d94c11500cd4e272d1f93c028efa65fa70",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-11-13T10:24:15Z",
    "title_canon_sha256": "1818e0d3deb90259fbd4bb635c3b03a8f37d554d762d517a9660c440096043b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04226",
    "kind": "arxiv",
    "version": 1
  }
}