Pith Number

pith:LFMN6DA3

pith:2014:LFMN6DA335J7FZTDZQEWWIV3R4

not attested not anchored not stored refs pending

Tropicalization of Del Pezzo Surfaces

Bernd Sturmfels, Kristin Shaw, Qingchun Ren

arxiv:1402.5651 v3 · 2014-02-23 · 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{LFMN6DA335J7FZTDZQEWWIV3R4}

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	2026-05-18T02:29:39.100404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5958df0c1bdf53f2e663cc096b22bb8f2ca7b0ebcba528c06cce61984b533c28

Aliases

arxiv: 1402.5651 · arxiv_version: 1402.5651v3 · doi: 10.48550/arxiv.1402.5651 · pith_short_12: LFMN6DA335J7 · pith_short_16: LFMN6DA335J7FZTD · pith_short_8: LFMN6DA3

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/LFMN6DA335J7FZTDZQEWWIV3R4 \
  | 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: 5958df0c1bdf53f2e663cc096b22bb8f2ca7b0ebcba528c06cce61984b533c28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2a09cb1dbc07e46d744946251a3ee57959b7333ebe46792070420b922ef7b28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-02-23T18:47:30Z",
    "title_canon_sha256": "e483d8bfa84f8055fd4bcff6daf0520a986c4b610b6e74a8c723ab098aa9349e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5651",
    "kind": "arxiv",
    "version": 3
  }
}