Pith Number

pith:JQ2NEU66

pith:2010:JQ2NEU66RO6QDHMMKGSPFDHD5F

not attested not anchored not stored refs pending

Welschinger invariants of small non-toric Del Pezzo surfaces

Eugenii Shustin, Ilia Itenberg, Viatcheslav Kharlamov

arxiv:1002.1399 v3 · 2010-02-06 · 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{JQ2NEU66RO6QDHMMKGSPFDHD5F}

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	2026-05-18T04:15:50.481116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c34d253de8bbd019d8c51a4f28ce3e9777e4520c5bd96e9c48902aa27612592

Aliases

arxiv: 1002.1399 · arxiv_version: 1002.1399v3 · doi: 10.48550/arxiv.1002.1399 · pith_short_12: JQ2NEU66RO6Q · pith_short_16: JQ2NEU66RO6QDHMM · pith_short_8: JQ2NEU66

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/JQ2NEU66RO6QDHMMKGSPFDHD5F \
  | 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: 4c34d253de8bbd019d8c51a4f28ce3e9777e4520c5bd96e9c48902aa27612592

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8506e6ccbfd1d6d7cbfb803eb1ae1eac7a09de6e2873c12984c8d2d45b3d1116",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-02-06T16:47:46Z",
    "title_canon_sha256": "2aea330c918980d4374e310da33da418cd5e0dd4da18a7e936556edc7d71efe2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1399",
    "kind": "arxiv",
    "version": 3
  }
}