Pith Number

pith:N6TAG4JN

pith:2012:N6TAG4JN6CFKENZ77A4EMDDME4

not attested not anchored not stored refs pending

Smooth Value Function with Applications in Wealth-CVaR Efficient Portfolio and Turnpike Property

Baojun Bian, Harry Zheng

arxiv:1212.3137 v1 · 2012-12-13 · 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{N6TAG4JN6CFKENZ77A4EMDDME4}

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	2026-05-18T03:38:33.674192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fa603712df08aa2373ff838460c6c273fa123b8e1780a479fd822ed2969ddf5

Aliases

arxiv: 1212.3137 · arxiv_version: 1212.3137v1 · doi: 10.48550/arxiv.1212.3137 · pith_short_12: N6TAG4JN6CFK · pith_short_16: N6TAG4JN6CFKENZ7 · pith_short_8: N6TAG4JN

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/N6TAG4JN6CFKENZ77A4EMDDME4 \
  | 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: 6fa603712df08aa2373ff838460c6c273fa123b8e1780a479fd822ed2969ddf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9e58f3da1e53caf04f04bc04b8902de34d910719629598dcad07af0bd343a63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2012-12-13T11:45:18Z",
    "title_canon_sha256": "73cc66180b4518c3e1ce34d3b298618d1effc5923b708fc58379a3a82f87d3b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3137",
    "kind": "arxiv",
    "version": 1
  }
}