Pith Number

pith:3FFP6VYK

pith:2016:3FFP6VYKC2FYTHSVZMOACG5ZKF

not attested not anchored not stored refs pending

On the number of fibrations transversal to a rational curve in a complex surface

F. Loray, M. Falla Luza

arxiv:1602.00980 v1 · 2016-02-02 · 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{3FFP6VYKC2FYTHSVZMOACG5ZKF}

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	2026-05-18T01:21:24.100568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d94aff570a168b899e55cb1c011bb9515e2cc5d4a2be3825f94bd62e86eabef3

Aliases

arxiv: 1602.00980 · arxiv_version: 1602.00980v1 · doi: 10.48550/arxiv.1602.00980 · pith_short_12: 3FFP6VYKC2FY · pith_short_16: 3FFP6VYKC2FYTHSV · pith_short_8: 3FFP6VYK

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/3FFP6VYKC2FYTHSVZMOACG5ZKF \
  | 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: d94aff570a168b899e55cb1c011bb9515e2cc5d4a2be3825f94bd62e86eabef3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "499a07297160b80e8784a4af45955b897a6f8711b285ebb357eba705f59f0f2a",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-02-02T15:45:00Z",
    "title_canon_sha256": "e6787860b4d2c1c7c5de2d86851aa586fe009c6c13e441188ab879e5009f0f8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00980",
    "kind": "arxiv",
    "version": 1
  }
}