Pith Number

pith:5QMFKLRZ

pith:2012:5QMFKLRZEAYFCABLWUYBTBLVVZ

not attested not anchored not stored refs pending

Secondary characteristic classes of transversely homogeneous foliations

Hiraku Nozawa, Jes\'us A. \'Alvarez L\'opez

arxiv:1205.3375 v4 · 2012-05-15 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QMFKLRZEAYFCABLWUYBTBLVVZ}

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	2026-05-18T02:03:55.975254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec18552e39203051002bb530198575ae4a220656d3d88043eb9f11b7d27fbd9c

Aliases

arxiv: 1205.3375 · arxiv_version: 1205.3375v4 · doi: 10.48550/arxiv.1205.3375 · pith_short_12: 5QMFKLRZEAYF · pith_short_16: 5QMFKLRZEAYFCABL · pith_short_8: 5QMFKLRZ

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/5QMFKLRZEAYFCABLWUYBTBLVVZ \
  | 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: ec18552e39203051002bb530198575ae4a220656d3d88043eb9f11b7d27fbd9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4889c3c927af42a71bf1b2e261859a95d86a25ca70cdba84722a217fe8d2c918",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-15T13:59:44Z",
    "title_canon_sha256": "39beae2d172fead93b6d888f91681670c61c67d3c60a6f429302fccb796ba545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3375",
    "kind": "arxiv",
    "version": 4
  }
}