Pith Number

pith:IQOLSBFM

pith:2011:IQOLSBFMS6DN7YIB5NTHI2HY44

not attested not anchored not stored refs pending

Invariant complex structures on 6-nilmanifolds: classification, Fr\"olicher spectral sequence and special Hermitian metrics

Antonio Otal, Luis Ugarte, Manuel Ceballos, Raquel Villacampa

arxiv:1111.5873 v5 · 2011-11-24 · math.DG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IQOLSBFMS6DN7YIB5NTHI2HY44}

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	2026-05-18T02:40:45.968823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

441cb904ac9786dfe101eb667468f8e714c90612e0c1d6df2a0bd9573e5af971

Aliases

arxiv: 1111.5873 · arxiv_version: 1111.5873v5 · doi: 10.48550/arxiv.1111.5873 · pith_short_12: IQOLSBFMS6DN · pith_short_16: IQOLSBFMS6DN7YIB · pith_short_8: IQOLSBFM

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/IQOLSBFMS6DN7YIB5NTHI2HY44 \
  | 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: 441cb904ac9786dfe101eb667468f8e714c90612e0c1d6df2a0bd9573e5af971

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44832292691b6b7a8e3411040a1913cf9c3cb472dd1033260de482f52e439281",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-24T23:59:53Z",
    "title_canon_sha256": "c1c8bb0efcb41ad3beba883d102cf7e9352ea2dd86e4e28674f71f101084056c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5873",
    "kind": "arxiv",
    "version": 5
  }
}