Pith Number

pith:GR6QMYM6

pith:2013:GR6QMYM6Y2LELNNEGLBDIRBLXQ

not attested not anchored not stored refs pending

Welschinger invariants of real del Pezzo surfaces of degree $\ge2$

Eugenii Shustin, Ilia Itenberg, Viatcheslav Kharlamov

arxiv:1312.2921 v5 · 2013-12-10 · 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{GR6QMYM6Y2LELNNEGLBDIRBLXQ}

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	2026-05-18T00:25:44.724443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

347d06619ec69645b5a432c234442bbc1e09071729e7368c2a1387ad0759c35c

Aliases

arxiv: 1312.2921 · arxiv_version: 1312.2921v5 · doi: 10.48550/arxiv.1312.2921 · pith_short_12: GR6QMYM6Y2LE · pith_short_16: GR6QMYM6Y2LELNNE · pith_short_8: GR6QMYM6

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/GR6QMYM6Y2LELNNEGLBDIRBLXQ \
  | 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: 347d06619ec69645b5a432c234442bbc1e09071729e7368c2a1387ad0759c35c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca0b29456b3cedd6767fa218f100721e505d19aa01ae15e5c9d83328180390a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-10T19:31:00Z",
    "title_canon_sha256": "b0843376b5e96be96e808becdaea02c904d71f2f96ee97e911561fb3b8485d37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2921",
    "kind": "arxiv",
    "version": 5
  }
}