Pith Number

pith:MNLMK3KZ

pith:2015:MNLMK3KZVZYO6MK3YUMB6E5RPN

not attested not anchored not stored refs pending

On the C-property and $w^*$-representations of risk measures

Foivos Xanthos, Niushan Gao

arxiv:1511.03159 v3 · 2015-11-10 · q-fin.MF · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MNLMK3KZVZYO6MK3YUMB6E5RPN}

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	2026-05-18T01:04:09.350297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6356c56d59ae70ef315bc5181f13b17b4ebfb9513fd858637839b2a5a3afea2b

Aliases

arxiv: 1511.03159 · arxiv_version: 1511.03159v3 · doi: 10.48550/arxiv.1511.03159 · pith_short_12: MNLMK3KZVZYO · pith_short_16: MNLMK3KZVZYO6MK3 · pith_short_8: MNLMK3KZ

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/MNLMK3KZVZYO6MK3YUMB6E5RPN \
  | 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: 6356c56d59ae70ef315bc5181f13b17b4ebfb9513fd858637839b2a5a3afea2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "048c378046fca28f46524ef85d0b202089490ed6bdfb50bfc9088cec16b17a99",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2015-11-10T16:01:28Z",
    "title_canon_sha256": "7dc4d7921da7cdc8bd7763e2ed76e829554e91a3a66e50c097313d7e176ab223"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03159",
    "kind": "arxiv",
    "version": 3
  }
}