Pith Number

pith:GFS7WV2T

pith:2016:GFS7WV2TEV6SE3AN7N45H2LPGA

not attested not anchored not stored refs pending

Robust Optimal Investment in Discrete Time for Unbounded Utility Function

Laurence Carassus, Romain Blanchard

arxiv:1609.09205 v3 · 2016-09-29 · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GFS7WV2TEV6SE3AN7N45H2LPGA}

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	2026-05-18T00:33:59.796276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3165fb5753257d226c0dfb79d3e96f3038f5f93c53212e4f032998c70eb184da

Aliases

arxiv: 1609.09205 · arxiv_version: 1609.09205v3 · doi: 10.48550/arxiv.1609.09205 · pith_short_12: GFS7WV2TEV6S · pith_short_16: GFS7WV2TEV6SE3AN · pith_short_8: GFS7WV2T

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/GFS7WV2TEV6SE3AN7N45H2LPGA \
  | 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: 3165fb5753257d226c0dfb79d3e96f3038f5f93c53212e4f032998c70eb184da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae24c469586d0bd8505c32575ef20fd6b87083f00602ed6c63bcf2bba2c3a0e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2016-09-29T05:09:56Z",
    "title_canon_sha256": "a39b62ee79695312c5a446f3f47c1bf1398573179727bb20cf3934db534a450d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09205",
    "kind": "arxiv",
    "version": 3
  }
}