Pith Number

pith:72QZYO27

pith:2016:72QZYO275HCA4AMR6WCQICYLR2

not attested not anchored not stored refs pending

Duality between the pseudoeffective and the movable cone on a projective manifold

David Witt Nystr\"om, S\'ebastien Boucksom

arxiv:1602.03778 v2 · 2016-02-11 · 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{72QZYO275HCA4AMR6WCQICYLR2}

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	2026-05-18T00:55:58.274008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fea19c3b5fe9c40e0191f585040b0b8ea0badf3ba5ee046eb07c54b82f535225

Aliases

arxiv: 1602.03778 · arxiv_version: 1602.03778v2 · doi: 10.48550/arxiv.1602.03778 · pith_short_12: 72QZYO275HCA · pith_short_16: 72QZYO275HCA4AMR · pith_short_8: 72QZYO27

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/72QZYO275HCA4AMR6WCQICYLR2 \
  | 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: fea19c3b5fe9c40e0191f585040b0b8ea0badf3ba5ee046eb07c54b82f535225

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e890eb87cb3ef402be4b31a004c92b4ec59491d905eeca54d07d4dbe01d77839",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-02-11T15:55:28Z",
    "title_canon_sha256": "0b53b0b599d092b7823350c39a34aab3f757771f4ebf6c3a6dbeac692c10a4d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03778",
    "kind": "arxiv",
    "version": 2
  }
}