Pith Number

pith:J7AC32RY

pith:2013:J7AC32RY4FPRJOOZOEO23PFAGZ

not attested not anchored not stored refs pending

Dynamic alpha-invariants of del Pezzo surfaces with boundary

Jesus Martinez-Garcia

arxiv:1309.1185 v1 · 2013-09-04 · math.AG · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7AC32RY4FPRJOOZOEO23PFAGZ}

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	2026-05-18T03:14:08.014673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fc02dea38e15f14b9d9711dadbca0367950bfb1abd0d785b8fef044177f1163

Aliases

arxiv: 1309.1185 · arxiv_version: 1309.1185v1 · doi: 10.48550/arxiv.1309.1185 · pith_short_12: J7AC32RY4FPR · pith_short_16: J7AC32RY4FPRJOOZ · pith_short_8: J7AC32RY

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/J7AC32RY4FPRJOOZOEO23PFAGZ \
  | 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: 4fc02dea38e15f14b9d9711dadbca0367950bfb1abd0d785b8fef044177f1163

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6273b1e3d004cad4368099a6e015dc42b461ae7abddae9f658200e9d9e2b340",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-04T20:28:50Z",
    "title_canon_sha256": "f9395bfe1670e8c5a481aaef758a8e7f1cba3846666fe2ec0ada1f0497f0a125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1185",
    "kind": "arxiv",
    "version": 1
  }
}