Pith Number

pith:5TTLGUMZ

pith:2018:5TTLGUMZDNDHN4JYLXIB7XWFJT

not attested not anchored not stored refs pending

The Income Fluctuation Problem with Capital Income Risk: Optimality and Stability

Alexis Akira Toda, John Stachurski, Qingyin Ma

arxiv:1812.01320 v1 · 2018-12-04 · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5TTLGUMZDNDHN4JYLXIB7XWFJT}

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	2026-05-17T23:59:12.810000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ece6b351991b4676f1385dd01fdec54cca3c9ffafdebc45efd85f7e81e938160

Aliases

arxiv: 1812.01320 · arxiv_version: 1812.01320v1 · doi: 10.48550/arxiv.1812.01320 · pith_short_12: 5TTLGUMZDNDH · pith_short_16: 5TTLGUMZDNDHN4JY · pith_short_8: 5TTLGUMZ

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/5TTLGUMZDNDHN4JYLXIB7XWFJT \
  | 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: ece6b351991b4676f1385dd01fdec54cca3c9ffafdebc45efd85f7e81e938160

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37aa4a9d97624a87486de673c7957605efdac010071c75d9f9c0385ca8655834",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2018-12-04T10:36:47Z",
    "title_canon_sha256": "a352368697719bc60df273f0044c1a5f8a7744f56a781886451dc12c0521b5e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01320",
    "kind": "arxiv",
    "version": 1
  }
}