Pith Number

pith:XVLRY2RQ

pith:2009:XVLRY2RQXJQGIGJCHZAOUGB5VL

not attested not anchored not stored refs pending

Lins Neto's examples of foliations and the Mori cone of blow-ups of $P^2$

Francisco Monserrat

arxiv:0901.1565 v2 · 2009-01-12 · 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{XVLRY2RQXJQGIGJCHZAOUGB5VL}

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	2026-05-18T02:58:10.796954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd571c6a30ba606419223e40ea183daafde6361b9c6a68cbd508f6c4ed2c3149

Aliases

arxiv: 0901.1565 · arxiv_version: 0901.1565v2 · doi: 10.48550/arxiv.0901.1565 · pith_short_12: XVLRY2RQXJQG · pith_short_16: XVLRY2RQXJQGIGJC · pith_short_8: XVLRY2RQ

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/XVLRY2RQXJQGIGJCHZAOUGB5VL \
  | 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: bd571c6a30ba606419223e40ea183daafde6361b9c6a68cbd508f6c4ed2c3149

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2079a13a5ae9139b2dba0bc78dc5c23cdd9051bc95abdb3b454b365166c1bfbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-01-12T12:45:47Z",
    "title_canon_sha256": "aa857704dc450ad96c96bba90f54170d4846a8d52282ceda7e5d6380bc837e54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.1565",
    "kind": "arxiv",
    "version": 2
  }
}