Pith Number

pith:33GAZHWY

pith:2016:33GAZHWYMAUGFKW72RJW6J5KNA

not attested not anchored not stored refs pending

Convex duality in optimal investment and contingent claim valuation in illiquid markets

Ari-Pekka Perkki\"o, Teemu Pennanen

arxiv:1603.02867 v1 · 2016-03-09 · q-fin.MF · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33GAZHWYMAUGFKW72RJW6J5KNA}

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	2026-05-18T01:19:19.678501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

decc0c9ed8602862aadfd4536f27aa6811f174a74c29a521d6993584c2b287fa

Aliases

arxiv: 1603.02867 · arxiv_version: 1603.02867v1 · doi: 10.48550/arxiv.1603.02867 · pith_short_12: 33GAZHWYMAUG · pith_short_16: 33GAZHWYMAUGFKW7 · pith_short_8: 33GAZHWY

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/33GAZHWYMAUGFKW72RJW6J5KNA \
  | 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: decc0c9ed8602862aadfd4536f27aa6811f174a74c29a521d6993584c2b287fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca335fe119d2b6aab075e491833e4a3c4922ba91aa446b8bb44269e10907b877",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2016-03-09T12:38:30Z",
    "title_canon_sha256": "985781e1cd1a7ed01258935d2c240125457ecc47bfd36d64795e2b7bb0422b02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02867",
    "kind": "arxiv",
    "version": 1
  }
}