Pith Number

pith:3LPPC64K

pith:2015:3LPPC64KNLGVZI2COX3IFZOYGZ

not attested not anchored not stored refs pending

A Supermartingale Relation for Multivariate Risk Measures

Birgit Rudloff, Zachary Feinstein

arxiv:1510.05561 v4 · 2015-10-19 · 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{3LPPC64KNLGVZI2COX3IFZOYGZ}

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	2026-05-18T00:24:40.072781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dadef17b8a6acd5ca34275f682e5d83648fcca30665a9da40d812315393f16ac

Aliases

arxiv: 1510.05561 · arxiv_version: 1510.05561v4 · doi: 10.48550/arxiv.1510.05561 · pith_short_12: 3LPPC64KNLGV · pith_short_16: 3LPPC64KNLGVZI2C · pith_short_8: 3LPPC64K

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/3LPPC64KNLGVZI2COX3IFZOYGZ \
  | 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: dadef17b8a6acd5ca34275f682e5d83648fcca30665a9da40d812315393f16ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c946145e252051a7b29a4d5bda93bd6d89d0895bedd89c0c43a1d970fe099838",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2015-10-19T16:14:06Z",
    "title_canon_sha256": "22bd3f4f5d2da97f244fda07a528cd9f79ac2caf122283c180c15648fc9149a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05561",
    "kind": "arxiv",
    "version": 4
  }
}