Pith Number

pith:4T77V4OY

pith:2017:4T77V4OY34T2LKI7PJ5VAAJZTH

not attested not anchored not stored refs pending

Constrained portfolio-consumption strategies with uncertain parameters and borrowing costs

Chao Zhou, Gechun Liang, Zhou Yang

arxiv:1711.02939 v2 · 2017-11-08 · 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{4T77V4OY34T2LKI7PJ5VAAJZTH}

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	2026-05-17T23:59:03.650687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4fffaf1d8df27a5a91f7a7b50013999e650a20af56b74173a0d9f1386533c9a

Aliases

arxiv: 1711.02939 · arxiv_version: 1711.02939v2 · doi: 10.48550/arxiv.1711.02939 · pith_short_12: 4T77V4OY34T2 · pith_short_16: 4T77V4OY34T2LKI7 · pith_short_8: 4T77V4OY

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/4T77V4OY34T2LKI7PJ5VAAJZTH \
  | 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: e4fffaf1d8df27a5a91f7a7b50013999e650a20af56b74173a0d9f1386533c9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae963effe7b5a4dc88067a5d6d123d2a8403f1361b57aa097bdbbe4128e70f2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2017-11-08T13:35:25Z",
    "title_canon_sha256": "a22feffcd4c911f35079d18077495fc7c70cb067f8c34cff87469a81f9372368"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02939",
    "kind": "arxiv",
    "version": 2
  }
}