Pith Number

pith:LX6IHVKX

pith:2019:LX6IHVKXFRDH7IOMO5SFWLSS5W

not attested not anchored not stored refs pending

The Hamiltonian approach to the problem of derivation of production functions in economic growth theory

Kunpeng Wang, Roman G. Smirnov

arxiv:1906.11224 v1 · 2019-06-26 · econ.TH · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LX6IHVKXFRDH7IOMO5SFWLSS5W}

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	2026-05-17T23:42:07.656783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dfc83d5572c467fa1cc77645b2e52ed8ae7938df6d750de11f2e9fdf0a5860d

Aliases

arxiv: 1906.11224 · arxiv_version: 1906.11224v1 · doi: 10.48550/arxiv.1906.11224 · pith_short_12: LX6IHVKXFRDH · pith_short_16: LX6IHVKXFRDH7IOM · pith_short_8: LX6IHVKX

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/LX6IHVKXFRDH7IOMO5SFWLSS5W \
  | 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: 5dfc83d5572c467fa1cc77645b2e52ed8ae7938df6d750de11f2e9fdf0a5860d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93259ca3998e0ee8cdbd7d6123a3faa60ae31f8e09690750eb054c5e89eae18c",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2019-06-26T17:34:22Z",
    "title_canon_sha256": "a708bdc524aa61f66974ded1918d516bd720e7590328163eac26b1e3d52fb990"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11224",
    "kind": "arxiv",
    "version": 1
  }
}