Pith Number

pith:FLDSRW5L

pith:2020:FLDSRW5LV67VNHU37U6LQ4PDVZ

not attested not anchored not stored refs pending

Optimal Investment, Heterogeneous Consumption and Best Time for Retirement

Harry Zheng, Hyun Jin Jang, Zuo Quan Xu

arxiv:2008.00392 v2 · 2020-08-02 · q-fin.PM · q-fin.RM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FLDSRW5LV67VNHU37U6LQ4PDVZ}

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	2026-07-05T04:30:01.865740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ac728dbabafbf569e9bfd3cb871e3ae4f31d7057a8d8805b69ecdbc200e4268

Aliases

arxiv: 2008.00392 · arxiv_version: 2008.00392v2 · doi: 10.48550/arxiv.2008.00392 · pith_short_12: FLDSRW5LV67V · pith_short_16: FLDSRW5LV67VNHU3 · pith_short_8: FLDSRW5L

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/FLDSRW5LV67VNHU37U6LQ4PDVZ \
  | 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: 2ac728dbabafbf569e9bfd3cb871e3ae4f31d7057a8d8805b69ecdbc200e4268

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f072e991ec448d05ce925e39450a524dc791996ced951d5cc31f627723b8c254",
    "cross_cats_sorted": [
      "q-fin.RM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2020-08-02T03:47:14Z",
    "title_canon_sha256": "674e1a2b44675c5ce58b433daba0ce0907a8ca4f6b67de5f755b718305774251"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.00392",
    "kind": "arxiv",
    "version": 2
  }
}