Pith Number

pith:YFZM5UJZ

pith:2011:YFZM5UJZ5ZWZMIH4FTUPHRXFSS

not attested not anchored not stored refs pending

On Mean-Variance Analysis

Traian A Pirvu, Yang Li

arxiv:1102.5078 v3 · 2011-02-24 · q-fin.PM · 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{YFZM5UJZ5ZWZMIH4FTUPHRXFSS}

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	2026-05-18T04:09:34.878780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c172ced139ee6d9620fc2ce8f3c6e5949ab7c75825ed10ce4e508f361cf41155

Aliases

arxiv: 1102.5078 · arxiv_version: 1102.5078v3 · doi: 10.48550/arxiv.1102.5078 · pith_short_12: YFZM5UJZ5ZWZ · pith_short_16: YFZM5UJZ5ZWZMIH4 · pith_short_8: YFZM5UJZ

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/YFZM5UJZ5ZWZMIH4FTUPHRXFSS \
  | 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: c172ced139ee6d9620fc2ce8f3c6e5949ab7c75825ed10ce4e508f361cf41155

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61db10d4fdab75fb2cf1baf8c3a2e92e62a98c6b1a31ede879c9ee6b2e9b7718",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2011-02-24T20:27:00Z",
    "title_canon_sha256": "0c4134e693ba9272234aa256e85683d72ade27cd00104f5225ea89809beb0c5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5078",
    "kind": "arxiv",
    "version": 3
  }
}