Pith Number

pith:NVN7WSAS

pith:2007:NVN7WSAS3I5IHNVJVGNURVHPH6

not attested not anchored not stored refs pending

Symmetric symplectic homotopy K3 surfaces

Slawomir Kwasik, Weimin Chen

arxiv:0709.2448 v2 · 2007-09-16 · 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{NVN7WSAS3I5IHNVJVGNURVHPH6}

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	2026-05-18T02:58:12.308418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d5bfb4812da3a83b6a9a99b48d4ef3f846f1850277d98c12957f6dd40a4f163

Aliases

arxiv: 0709.2448 · arxiv_version: 0709.2448v2 · doi: 10.48550/arxiv.0709.2448 · pith_short_12: NVN7WSAS3I5I · pith_short_16: NVN7WSAS3I5IHNVJ · pith_short_8: NVN7WSAS

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/NVN7WSAS3I5IHNVJVGNURVHPH6 \
  | 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: 6d5bfb4812da3a83b6a9a99b48d4ef3f846f1850277d98c12957f6dd40a4f163

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c9c7b2fae9a0e7d3ab1b2297d6750754925e186653b758a68c8387a30622879",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2007-09-16T02:06:25Z",
    "title_canon_sha256": "ea697c926953fcad5a4c4d8f1ed6ecfdbd91580337430aeb08f1e0123b070a99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.2448",
    "kind": "arxiv",
    "version": 2
  }
}