Pith Number

pith:5K3X7PX3

pith:2014:5K3X7PX3N6LYLSERLBCO63V75C

not attested not anchored not stored refs pending

Sasakian nilmanifolds

Antonio De Nicola, Beniamino Cappelletti-Montano, Ivan Yudin, Juan Carlos Marrero

arxiv:1404.0315 v4 · 2014-04-01 · math.DG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5K3X7PX3N6LYLSERLBCO63V75C}

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	2026-05-18T01:34:55.583519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eab77fbefb6f9785c8915844ef6ebfe8baf0f41bbdc453c2d109d5c0f898cf46

Aliases

arxiv: 1404.0315 · arxiv_version: 1404.0315v4 · doi: 10.48550/arxiv.1404.0315 · pith_short_12: 5K3X7PX3N6LY · pith_short_16: 5K3X7PX3N6LYLSER · pith_short_8: 5K3X7PX3

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/5K3X7PX3N6LYLSERLBCO63V75C \
  | 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: eab77fbefb6f9785c8915844ef6ebfe8baf0f41bbdc453c2d109d5c0f898cf46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a5bfcc533f3a267534cdbc5997f3e6a0308a830ab5e84f2fc4a0a268b01fcaa",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-04-01T17:19:33Z",
    "title_canon_sha256": "23ef163afa736fbfb1e107e815e2063359b13bd2a1c6b22f7ae45f8ff4effdc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0315",
    "kind": "arxiv",
    "version": 4
  }
}