Pith Number

pith:K5RNZKKI

pith:2018:K5RNZKKIGD3N76AD43LZTXUXHG

not attested not anchored not stored refs pending

Clarke duality for Hamiltonian systems with nonstandard growth

Fernando Mazzone, Jakub Maksymiuk, Sonia Acinas

arxiv:1811.10662 v1 · 2018-11-26 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K5RNZKKIGD3N76AD43LZTXUXHG}

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	2026-05-17T23:59:47.887739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5762dca94830f6dff803e6d799de97398fef5cc53a92efba0a3dd482e4608565

Aliases

arxiv: 1811.10662 · arxiv_version: 1811.10662v1 · doi: 10.48550/arxiv.1811.10662 · pith_short_12: K5RNZKKIGD3N · pith_short_16: K5RNZKKIGD3N76AD · pith_short_8: K5RNZKKI

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/K5RNZKKIGD3N76AD43LZTXUXHG \
  | 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: 5762dca94830f6dff803e6d799de97398fef5cc53a92efba0a3dd482e4608565

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eb4ce83d881007867c02182528292facc457879da6f34b4d287d1fe5b8b9e09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-11-26T19:44:52Z",
    "title_canon_sha256": "f2024a734e89ac31f269d70243580e8f415be0b7910ad6c80b89e9a6637032bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.10662",
    "kind": "arxiv",
    "version": 1
  }
}