Pith Number

pith:NDAYUEKG

pith:2016:NDAYUEKG4ME2EFQJ3SFHC4RLRP

not attested not anchored not stored refs pending

Robust Optimal Risk Sharing and Risk Premia in Expanding Pools

Gregor Svindland, Roger J. A. Laeven, Thomas Knispel

arxiv:1601.06979 v1 · 2016-01-26 · q-fin.RM · 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{NDAYUEKG4ME2EFQJ3SFHC4RLRP}

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	2026-05-18T00:45:26.187333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68c18a1146e309a21609dc8a71722b8bf6065e25881ac5e110204868ef3e2ae8

Aliases

arxiv: 1601.06979 · arxiv_version: 1601.06979v1 · doi: 10.48550/arxiv.1601.06979 · pith_short_12: NDAYUEKG4ME2 · pith_short_16: NDAYUEKG4ME2EFQJ · pith_short_8: NDAYUEKG

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/NDAYUEKG4ME2EFQJ3SFHC4RLRP \
  | 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: 68c18a1146e309a21609dc8a71722b8bf6065e25881ac5e110204868ef3e2ae8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "194edf69fb010b2c8dab632ebff9d14b6b67c760c882c4dd945aa9f5b7227f09",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2016-01-26T11:13:51Z",
    "title_canon_sha256": "10ca8b28b560aa6f3ffba4ac8798e2e9969aab4dc82187ae2062e2e91977d06b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06979",
    "kind": "arxiv",
    "version": 1
  }
}