Pith Number

pith:7JHMGNZN

pith:2018:7JHMGNZNNLHWK5Y63FRAAI7ANF

not attested not anchored not stored refs pending

Turnpike Property and Convergence Rate for an Investment and Consumption Model

Baojun Bian, Harry Zheng

arxiv:1808.04265 v1 · 2018-08-13 · q-fin.PM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JHMGNZNNLHWK5Y63FRAAI7ANF}

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	2026-05-18T00:08:18.454462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa4ec3372d6acf65771ed9620023e0694b9ca41ae5c619ad0eeafa20e6c79abe

Aliases

arxiv: 1808.04265 · arxiv_version: 1808.04265v1 · doi: 10.48550/arxiv.1808.04265 · pith_short_12: 7JHMGNZNNLHW · pith_short_16: 7JHMGNZNNLHWK5Y6 · pith_short_8: 7JHMGNZN

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/7JHMGNZNNLHWK5Y63FRAAI7ANF \
  | 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: fa4ec3372d6acf65771ed9620023e0694b9ca41ae5c619ad0eeafa20e6c79abe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "571e51f35caf816f2bc0d002dc59c7cb3c24b5c2f8bf64548dccfcb12f6bdeea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2018-08-13T14:24:37Z",
    "title_canon_sha256": "7ee576538eb97897a95fa0c014162b9c770b4fcfe8e8955926d1d3909814079f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04265",
    "kind": "arxiv",
    "version": 1
  }
}