Pith Number

pith:RXCOIWS2

pith:2012:RXCOIWS2O42GY2QYGI2GC2OLNK

not attested not anchored not stored refs pending

Green's Conjecture for curves on rational surfaces with an anticanonical pencil

Margherita Lelli-Chiesa

arxiv:1207.6993 v2 · 2012-07-30 · 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{RXCOIWS2O42GY2QYGI2GC2OLNK}

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	2026-05-18T03:33:59.689744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dc4e45a5a77346c6a1832346169cb6abbbfb945c8cef41c13829e38bbf54b20

Aliases

arxiv: 1207.6993 · arxiv_version: 1207.6993v2 · doi: 10.48550/arxiv.1207.6993 · pith_short_12: RXCOIWS2O42G · pith_short_16: RXCOIWS2O42GY2QY · pith_short_8: RXCOIWS2

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/RXCOIWS2O42GY2QYGI2GC2OLNK \
  | 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: 8dc4e45a5a77346c6a1832346169cb6abbbfb945c8cef41c13829e38bbf54b20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b49495254e8494414ea93afa2c376796b1b3955c4e1dbef63832628e000125b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-30T16:47:11Z",
    "title_canon_sha256": "f51cafd6f5628aa62e202bead69f7f17ad07cf443e03837282e27ebc969ede07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6993",
    "kind": "arxiv",
    "version": 2
  }
}