Pith Number

pith:2NXWD4II

pith:2017:2NXWD4IIJGF7BK3GB2KORCCFIC

not attested not anchored not stored refs pending

A decomposition theorem for projective manifolds with nef anticanonical bundle

Andreas H\"oring (JAD), Junyan Cao (IMJ-PRG)

arxiv:1706.08814 v1 · 2017-06-27 · 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{2NXWD4IIJGF7BK3GB2KORCCFIC}

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	2026-05-18T00:41:30.923452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d36f61f108498bf0ab660e94e888454095bbc2a8c7b84e41a757801fc555d826

Aliases

arxiv: 1706.08814 · arxiv_version: 1706.08814v1 · doi: 10.48550/arxiv.1706.08814 · pith_short_12: 2NXWD4IIJGF7 · pith_short_16: 2NXWD4IIJGF7BK3G · pith_short_8: 2NXWD4II

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/2NXWD4IIJGF7BK3GB2KORCCFIC \
  | 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: d36f61f108498bf0ab660e94e888454095bbc2a8c7b84e41a757801fc555d826

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f74cf878cae309c2fe1a0a33615b4ccdd8323423fe6c716d4d4cb70f7a08bd1",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-06-27T12:25:00Z",
    "title_canon_sha256": "94345e7f263600c7c9c807458d2d1367041098bec250418ea1b44e3e7639b56f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08814",
    "kind": "arxiv",
    "version": 1
  }
}