Pith Number

pith:PIRM2JZY

pith:2017:PIRM2JZYCDBIKKOYQZDXQMLH2T

not attested not anchored not stored refs pending

Model Spaces for Risk Measures

Felix-Benedikt Liebrich, Gregor Svindland

arxiv:1703.01137 v3 · 2017-03-03 · q-fin.RM · 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{PIRM2JZYCDBIKKOYQZDXQMLH2T}

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	2026-05-18T00:29:46.355554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a22cd273810c28529d88647783167d4c698be7a0f3f7be23d0b1d96f74d9059

Aliases

arxiv: 1703.01137 · arxiv_version: 1703.01137v3 · doi: 10.48550/arxiv.1703.01137 · pith_short_12: PIRM2JZYCDBI · pith_short_16: PIRM2JZYCDBIKKOY · pith_short_8: PIRM2JZY

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/PIRM2JZYCDBIKKOYQZDXQMLH2T \
  | 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: 7a22cd273810c28529d88647783167d4c698be7a0f3f7be23d0b1d96f74d9059

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ede03db6d9e3b652eecf2aefb873e0c4de7736a98f5e429c8eb9467b91aa97d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2017-03-03T12:55:15Z",
    "title_canon_sha256": "f68826a30c2802339366fdef24417488239e9336ff98c1d049496307f46c5f37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01137",
    "kind": "arxiv",
    "version": 3
  }
}