Pith Number

pith:D3HDGFWY

pith:2012:D3HDGFWYMMFB74MYOUPCTCA6UQ

not attested not anchored not stored refs pending

Portfolios and risk premia for the long run

Paolo Guasoni, Scott Robertson

arxiv:1203.1399 v1 · 2012-03-07 · math.PR · q-fin.PM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D3HDGFWYMMFB74MYOUPCTCA6UQ}

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	2026-05-18T04:00:38.768770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ece3316d8630a1ff198751e29881ea40b973d670671337d9df5b5b7bce3f937

Aliases

arxiv: 1203.1399 · arxiv_version: 1203.1399v1 · doi: 10.48550/arxiv.1203.1399 · pith_short_12: D3HDGFWYMMFB · pith_short_16: D3HDGFWYMMFB74MY · pith_short_8: D3HDGFWY

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/D3HDGFWYMMFB74MYOUPCTCA6UQ \
  | 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: 1ece3316d8630a1ff198751e29881ea40b973d670671337d9df5b5b7bce3f937

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0cb627ec693a9ad9dbdb0576dc6ba24358149a5cbde6620ac137f4469d6dde2",
    "cross_cats_sorted": [
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-07T08:26:45Z",
    "title_canon_sha256": "91728943bd5418801c1bb0bede94134d75ed316af57cd94c3a479a422f02e023"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1399",
    "kind": "arxiv",
    "version": 1
  }
}