Pith Number

pith:R65ADWBY

pith:2013:R65ADWBYZAS7IDJ5G2DGFCU3FO

not attested not anchored not stored refs pending

On utility maximization with derivatives under model uncertainty

Erhan Bayraktar, Zhou Zhou

arxiv:1307.4813 v1 · 2013-07-18 · math.PR · 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{R65ADWBYZAS7IDJ5G2DGFCU3FO}

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	2026-05-18T03:18:08.614194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fba01d838c825f40d3d3686628a9b2b917680298b4dd2026a773120937a55f5

Aliases

arxiv: 1307.4813 · arxiv_version: 1307.4813v1 · doi: 10.48550/arxiv.1307.4813 · pith_short_12: R65ADWBYZAS7 · pith_short_16: R65ADWBYZAS7IDJ5 · pith_short_8: R65ADWBY

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/R65ADWBYZAS7IDJ5G2DGFCU3FO \
  | 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: 8fba01d838c825f40d3d3686628a9b2b917680298b4dd2026a773120937a55f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7edbace4e87102c519c4c7e472c0e2105cabcc2693a089e330c9a8a75be3d56a",
    "cross_cats_sorted": [
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-18T01:54:44Z",
    "title_canon_sha256": "d625f4228c8ea4ff45dc54c3089c344b0f075bd3150b5641ba0e7271d20312b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4813",
    "kind": "arxiv",
    "version": 1
  }
}