Pith Number

pith:YUMIGN3C

pith:2018:YUMIGN3CEUFEIIK3EIPRQCBSPG

not attested not anchored not stored refs pending

Coverings of rational ruled normal surfaces

Enrique Artal Bartolo, Jorge Mart\'in-Morales, Jos\'e Ignacio Cogolludo-Agust\'in

arxiv:1803.04545 v1 · 2018-03-12 · 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{YUMIGN3CEUFEIIK3EIPRQCBSPG}

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	2026-05-18T00:21:18.753225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c518833762250a44215b221f18083279a82654ca972c6b95db7b54a82a08c182

Aliases

arxiv: 1803.04545 · arxiv_version: 1803.04545v1 · doi: 10.48550/arxiv.1803.04545 · pith_short_12: YUMIGN3CEUFE · pith_short_16: YUMIGN3CEUFEIIK3 · pith_short_8: YUMIGN3C

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/YUMIGN3CEUFEIIK3EIPRQCBSPG \
  | 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: c518833762250a44215b221f18083279a82654ca972c6b95db7b54a82a08c182

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7710847b1d926ef369ee4c6f84dbea80bafffa1524acc0626b41c81f268acb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-03-12T21:42:42Z",
    "title_canon_sha256": "a271d88fafe340abaed8b568e3dbe16190a0a48796f4561c4f12793836fd693b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04545",
    "kind": "arxiv",
    "version": 1
  }
}