Pith Number

pith:XYW3SKWJ

pith:2008:XYW3SKWJ4FC67JUND5UDIMF3J4

not attested not anchored not stored refs pending

K3 surfaces with non-symplectic involution and compact irreducible G_2-manifolds

Alexei Kovalev, Nam-Hoon Lee

arxiv:0810.0957 v4 · 2008-10-06 · math.DG · 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{XYW3SKWJ4FC67JUND5UDIMF3J4}

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	2026-05-18T04:16:32.481930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be2db92ac9e145efa68d1f683430bb4f22dc1e32df31384cd686474eb08fbe31

Aliases

arxiv: 0810.0957 · arxiv_version: 0810.0957v4 · doi: 10.48550/arxiv.0810.0957 · pith_short_12: XYW3SKWJ4FC6 · pith_short_16: XYW3SKWJ4FC67JUN · pith_short_8: XYW3SKWJ

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/XYW3SKWJ4FC67JUND5UDIMF3J4 \
  | 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: be2db92ac9e145efa68d1f683430bb4f22dc1e32df31384cd686474eb08fbe31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01d9c9400e98e9ad36a0e500b55960ae5b1a351dcbc47cbc1d6df708db9aac42",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-10-06T15:30:02Z",
    "title_canon_sha256": "89ddb6dc95669615f248e451a0bede4410c959b428685017fd23b567720c19a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.0957",
    "kind": "arxiv",
    "version": 4
  }
}