Pith Number

pith:DFXLTBP3

pith:2015:DFXLTBP3S2PXZZKBN7EG7IJIJQ

not attested not anchored not stored refs pending

A $C^\infty$ closing lemma for Hamiltonian diffeomorphisms of closed surfaces

Kei Irie, Masayuki Asaoka

arxiv:1512.06336 v3 · 2015-12-20 · 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{DFXLTBP3S2PXZZKBN7EG7IJIJQ}

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	2026-05-18T01:04:41.543880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

196eb985fb969f7ce5416fc86fa1284c233183037b8884ef1dd794fe41597b87

Aliases

arxiv: 1512.06336 · arxiv_version: 1512.06336v3 · doi: 10.48550/arxiv.1512.06336 · pith_short_12: DFXLTBP3S2PX · pith_short_16: DFXLTBP3S2PXZZKB · pith_short_8: DFXLTBP3

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/DFXLTBP3S2PXZZKBN7EG7IJIJQ \
  | 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: 196eb985fb969f7ce5416fc86fa1284c233183037b8884ef1dd794fe41597b87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "232094373a159799f08a25d41e5a63eb7ce115c2f33c226cc17fe5434950583a",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-12-20T09:04:08Z",
    "title_canon_sha256": "5fd2efe81fac10fec077979e5d1aa9cd8a546f296b6c86bb009f5da9de1d6a8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06336",
    "kind": "arxiv",
    "version": 3
  }
}