Pith Number

pith:7QIVIR5M

pith:2013:7QIVIR5MAZH52J7VGQSGUOQTW7

not attested not anchored not stored refs pending

Optimal robust bounds for variance options

Alexander M. G. Cox, Jiajie Wang

arxiv:1308.4363 v1 · 2013-08-20 · q-fin.PR · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7QIVIR5MAZH52J7VGQSGUOQTW7}

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	2026-05-18T03:15:33.047138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc115447ac064fdd27f534246a3a13b7c20cfd8403e1362eb8cbdb7d93dcfe1b

Aliases

arxiv: 1308.4363 · arxiv_version: 1308.4363v1 · doi: 10.48550/arxiv.1308.4363 · pith_short_12: 7QIVIR5MAZH5 · pith_short_16: 7QIVIR5MAZH52J7V · pith_short_8: 7QIVIR5M

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/7QIVIR5MAZH52J7VGQSGUOQTW7 \
  | 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: fc115447ac064fdd27f534246a3a13b7c20cfd8403e1362eb8cbdb7d93dcfe1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82ef54dbaef5a0e51a522481fe307444d12d462ce5916aebdc861be9b1f9028e",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2013-08-20T17:46:37Z",
    "title_canon_sha256": "ad0b3d06ff729eb15f7d3814faf75019ab625a8e496251e8a94c84bf76dbce13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4363",
    "kind": "arxiv",
    "version": 1
  }
}