Pith Number

pith:UKYVFML5

pith:2014:UKYVFML5EU2QLWXQ74T3QMKIQH

not attested not anchored not stored refs pending

Spin structures on flat manifolds

Bartosz Putrycz, Rafa{\l} Lutowski

arxiv:1411.7799 v3 · 2014-11-28 · math.GR · math.DG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKYVFML5EU2QLWXQ74T3QMKIQH}

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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.

Cited by

1 paper in Pith

Supersymmetry-breaking compactifications on Riemann-flat manifolds

Receipt and verification

First computed	2026-07-05T11:20:41.503523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2b152b17d253505daf0ff27b8314881de25f4fb564566beac2a11fe0b97c746

Aliases

arxiv: 1411.7799 · arxiv_version: 1411.7799v3 · doi: 10.48550/arxiv.1411.7799 · pith_short_12: UKYVFML5EU2Q · pith_short_16: UKYVFML5EU2QLWXQ · pith_short_8: UKYVFML5

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/UKYVFML5EU2QLWXQ74T3QMKIQH \
  | 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: a2b152b17d253505daf0ff27b8314881de25f4fb564566beac2a11fe0b97c746

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "076c44f2eeb96fb7ee9e9486c0712e9f149c17ce85313b869be1ff0e16723f1b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-11-28T10:13:01Z",
    "title_canon_sha256": "02b635ee9627ffbdb036ca4e05dd3c3d7442265a82e27e5954db315374bb2dd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7799",
    "kind": "arxiv",
    "version": 3
  }
}