Pith Number

pith:CDL55AVA

pith:2019:CDL55AVA325YS4CCRUXP6UWQKK

not attested not anchored not stored refs pending

On the $C^{\infty}$ closing lemma for Hamiltonian flows on symplectic $4$-manifolds

Dong Chen

arxiv:1904.09900 v1 · 2019-04-22 · math.DS · 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{CDL55AVA325YS4CCRUXP6UWQKK}

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	2026-05-17T23:48:02.909987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10d7de82a0debb8970428d2eff52d052b37fa4e94f1ab0c738876004c85f3fae

Aliases

arxiv: 1904.09900 · arxiv_version: 1904.09900v1 · doi: 10.48550/arxiv.1904.09900 · pith_short_12: CDL55AVA325Y · pith_short_16: CDL55AVA325YS4CC · pith_short_8: CDL55AVA

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/CDL55AVA325YS4CCRUXP6UWQKK \
  | 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: 10d7de82a0debb8970428d2eff52d052b37fa4e94f1ab0c738876004c85f3fae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d43ca837107a30bc4942953d37bab01214365b01a887d4893dec683162ae5d1",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-04-22T14:35:15Z",
    "title_canon_sha256": "bcc4ec76ff9186b6f20863fa109a4221883eea671be815c74d0f80865b41aed3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09900",
    "kind": "arxiv",
    "version": 1
  }
}