Pith Number

pith:BMYNVISE

pith:2012:BMYNVISEQREHA2JLFGARFBZPMK

not attested not anchored not stored refs pending

On the Equivalence of Quadratic Optimization Problems Commonly Used in Portfolio Theory

Nestor Parolya, Taras Bodnar, Wolfgang Schmid

arxiv:1207.1029 v2 · 2012-07-04 · q-fin.PM · math.OC · math.PR · q-fin.CP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BMYNVISEQREHA2JLFGARFBZPMK}

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	2026-05-18T03:26:08.809054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b30daa244844870692b298112872f62be5f6e548c626b931b412ef4cd33c853

Aliases

arxiv: 1207.1029 · arxiv_version: 1207.1029v2 · doi: 10.48550/arxiv.1207.1029 · pith_short_12: BMYNVISEQREH · pith_short_16: BMYNVISEQREHA2JL · pith_short_8: BMYNVISE

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/BMYNVISEQREHA2JLFGARFBZPMK \
  | 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: 0b30daa244844870692b298112872f62be5f6e548c626b931b412ef4cd33c853

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca76cc87957bb6dda3aa4c77939240343cd25041542aaa5d17ea6c8fbd232302",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR",
      "q-fin.CP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2012-07-04T15:29:42Z",
    "title_canon_sha256": "b94a09c25c6fde0c9d8b6ce0d3ba4e0d82eb36dab0201a308460ffc3fa16a236"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1029",
    "kind": "arxiv",
    "version": 2
  }
}