Pith Number

pith:NM552DBR

pith:2026:NM552DBRVGLH5L6SAKEQDXD43A

not attested not anchored not stored refs pending

Multiplicity of closed Reeb orbits on contact manifolds with periodic equivariant symplectic homology

Leonardo Macarini, Miguel Abreu

arxiv:2607.01219 v1 · 2026-07-01 · math.SG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NM552DBRVGLH5L6SAKEQDXD43A}

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	2026-07-02T01:18:33.052196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b3bdd0c31a9967eafd2028901dc7cd803dd9e2ed7420d8d885a340b6d034035

Aliases

arxiv: 2607.01219 · arxiv_version: 2607.01219v1 · doi: 10.48550/arxiv.2607.01219 · pith_short_12: NM552DBRVGLH · pith_short_16: NM552DBRVGLH5L6S · pith_short_8: NM552DBR

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/NM552DBRVGLH5L6SAKEQDXD43A \
  | 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: 6b3bdd0c31a9967eafd2028901dc7cd803dd9e2ed7420d8d885a340b6d034035

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92215fba3b97a05ab4fe491126b0c2328fc586c17008c63b12f87bc4d601a9a3",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2026-07-01T17:55:24Z",
    "title_canon_sha256": "434f89d15e62dd72d34ee26d970a85fb30fc66e37984e56c9e8bb0e5d1a0ff5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01219",
    "kind": "arxiv",
    "version": 1
  }
}