Pith Number

pith:WPO2GCGX

pith:2018:WPO2GCGXUGARY3CGVJ46B4JMBJ

not attested not anchored not stored refs pending

Complex $G_2$-manifolds and Seiberg-Witten Equations

Selman Akbulut, Ustun Yildirim

arxiv:1804.09951 v2 · 2018-04-26 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPO2GCGXUGARY3CGVJ46B4JMBJ}

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	2026-05-18T00:03:24.527378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3dda308d7a1811c6c46aa79e0f12c0a787ad104fd7156baeef2a2dce7ae8756

Aliases

arxiv: 1804.09951 · arxiv_version: 1804.09951v2 · doi: 10.48550/arxiv.1804.09951 · pith_short_12: WPO2GCGXUGAR · pith_short_16: WPO2GCGXUGARY3CG · pith_short_8: WPO2GCGX

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/WPO2GCGXUGARY3CGVJ46B4JMBJ \
  | 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: b3dda308d7a1811c6c46aa79e0f12c0a787ad104fd7156baeef2a2dce7ae8756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36427c56664ae862a5a3057c2137f65a9b2a77676a87b5b1b062382869ff7e07",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-04-26T09:19:10Z",
    "title_canon_sha256": "ae8deffb1e5101b2786bb26e69f50c0931a22745987949c12b0f9bfa21d0a4c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09951",
    "kind": "arxiv",
    "version": 2
  }
}