Pith Number

pith:ZBX2U2B2

pith:2012:ZBX2U2B2IDMDGUUGWHRQV5MZ2L

not attested not anchored not stored refs pending

Optimal portfolio model based on WVAR

Tianyu Hao

arxiv:1211.5628 v1 · 2012-11-24 · 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{ZBX2U2B2IDMDGUUGWHRQV5MZ2L}

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	2026-05-18T03:40:02.411692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c86faa683a40d8335286b1e30af599d2cdc63c7e0cd3a17d81087ee46fa2ae6a

Aliases

arxiv: 1211.5628 · arxiv_version: 1211.5628v1 · doi: 10.48550/arxiv.1211.5628 · pith_short_12: ZBX2U2B2IDMD · pith_short_16: ZBX2U2B2IDMDGUUG · pith_short_8: ZBX2U2B2

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/ZBX2U2B2IDMDGUUGWHRQV5MZ2L \
  | 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: c86faa683a40d8335286b1e30af599d2cdc63c7e0cd3a17d81087ee46fa2ae6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baa25997591753473043437e5a65ab84e59d296ea4512245d6b5104033250b07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2012-11-24T00:47:33Z",
    "title_canon_sha256": "03503994d9fca266875a1d8190b0dc3c70ad93f840523262d88d4d433f39bdab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5628",
    "kind": "arxiv",
    "version": 1
  }
}