Pith Number

pith:EKNHO65X

pith:2011:EKNHO65XPOU5BSH27XG3QEVFFP

not attested not anchored not stored refs pending

Symplectic 4--manifolds with K = 0 and the Lubotzky alternative

Stefan Friedl, Stefano Vidussi

arxiv:1102.0820 v1 · 2011-02-04 · 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{EKNHO65XPOU5BSH27XG3QEVFFP}

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	2026-05-17T23:57:49.181347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

229a777bb77ba9d0c8fafdcdb812a52bd539c064a193b475e4ee300af6743794

Aliases

arxiv: 1102.0820 · arxiv_version: 1102.0820v1 · doi: 10.48550/arxiv.1102.0820 · pith_short_12: EKNHO65XPOU5 · pith_short_16: EKNHO65XPOU5BSH2 · pith_short_8: EKNHO65X

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/EKNHO65XPOU5BSH27XG3QEVFFP \
  | 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: 229a777bb77ba9d0c8fafdcdb812a52bd539c064a193b475e4ee300af6743794

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bfab4d8054da29febdc2dec79d5b8613030338b8467307531669aef971bf17c",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-02-04T00:56:55Z",
    "title_canon_sha256": "cef9b0df854b1eddeb8ebd1fe58c5f2ee2fe28331796cd77d1e9fe7bf8891415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0820",
    "kind": "arxiv",
    "version": 1
  }
}