Pith Number

pith:LNTZGSPU

pith:2017:LNTZGSPUV5K5TGQEYWFGV3SVHI

not attested not anchored not stored refs pending

Existence, uniqueness and stability of optimal portfolios of eligible assets

Cosimo Munari, Michel Baes, Pablo Koch-Medina

arxiv:1702.01936 v2 · 2017-02-07 · math.OC · q-fin.RM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNTZGSPUV5K5TGQEYWFGV3SVHI}

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	2026-05-18T00:27:02.750719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b679349f4af55d99a04c58a6aee553a271df97eb5dee8f94e0fdb6cdb939a80

Aliases

arxiv: 1702.01936 · arxiv_version: 1702.01936v2 · doi: 10.48550/arxiv.1702.01936 · pith_short_12: LNTZGSPUV5K5 · pith_short_16: LNTZGSPUV5K5TGQE · pith_short_8: LNTZGSPU

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/LNTZGSPUV5K5TGQEYWFGV3SVHI \
  | 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: 5b679349f4af55d99a04c58a6aee553a271df97eb5dee8f94e0fdb6cdb939a80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8b976e44ed9e9e5f49aff19fb05d411a1714a18f04dd92776f6cb47e6be7d93",
    "cross_cats_sorted": [
      "q-fin.RM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-02-07T09:27:52Z",
    "title_canon_sha256": "757711b6db9da5f8e367b43b0c0fe5902639658853e04977f9a8200f56dc50a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01936",
    "kind": "arxiv",
    "version": 2
  }
}