Pith Number

pith:H4JWSP23

pith:2015:H4JWSP23XSS4J5FMAUHYSFINTQ

not attested not anchored not stored refs pending

On the dual problem of utility maximization in incomplete markets

Junjian Yang, Lingqi Gu, Yiqing Lin

arxiv:1510.08323 v2 · 2015-10-28 · math.PR · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H4JWSP23XSS4J5FMAUHYSFINTQ}

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	2026-05-18T01:25:54.773469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f13693f5bbca5c4f4ac050f89150d9c0810b2278a2080250cf69e7163793fd2

Aliases

arxiv: 1510.08323 · arxiv_version: 1510.08323v2 · doi: 10.48550/arxiv.1510.08323 · pith_short_12: H4JWSP23XSS4 · pith_short_16: H4JWSP23XSS4J5FM · pith_short_8: H4JWSP23

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/H4JWSP23XSS4J5FMAUHYSFINTQ \
  | 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: 3f13693f5bbca5c4f4ac050f89150d9c0810b2278a2080250cf69e7163793fd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "326e038f95074d40d5aaa11c9885934dd2cd28b28bde6ab5814f8516df3fbc97",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-28T14:40:30Z",
    "title_canon_sha256": "b9e0bcc8217c50f4aa3abb891c1dd2fc5e5b5011f6459fecbfada12156d718f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08323",
    "kind": "arxiv",
    "version": 2
  }
}