Pith Number

pith:XLMY6BJE

pith:2011:XLMY6BJESYDM3KNXCELLA2ZSJ6

not attested not anchored not stored refs pending

Computing the Singularities of Rational Surfaces

C. Villarino, J.R. Sendra, S. Perez-Diaz

arxiv:1107.5262 v2 · 2011-07-26 · 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{XLMY6BJESYDM3KNXCELLA2ZSJ6}

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	2026-05-18T02:39:24.433832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bad98f05249606cda9b71116b06b324f82a3e0020a5b9e4c631724ed25884b7e

Aliases

arxiv: 1107.5262 · arxiv_version: 1107.5262v2 · doi: 10.48550/arxiv.1107.5262 · pith_short_12: XLMY6BJESYDM · pith_short_16: XLMY6BJESYDM3KNX · pith_short_8: XLMY6BJE

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/XLMY6BJESYDM3KNXCELLA2ZSJ6 \
  | 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: bad98f05249606cda9b71116b06b324f82a3e0020a5b9e4c631724ed25884b7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1628a5d26b27213f4c3a63e3c3c4b09df1a38905304e4214812cf197baaf5859",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-26T16:36:34Z",
    "title_canon_sha256": "61b055b5bbcc0a963c25eaf3395f833f049d9950a926ee45d17f182b637c9421"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5262",
    "kind": "arxiv",
    "version": 2
  }
}