Pith Number

pith:BDYDIRQO

pith:2014:BDYDIRQO7EAGAEJTOXN5WCGUVF

not attested not anchored not stored refs pending

Increasing Risk: Dynamic Mean-Preserving Spreads

Daniele Rinaldo, Jean-Louis Arcand, Max-Olivier Hongler

arxiv:1412.1384 v3 · 2014-12-03 · 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{BDYDIRQO7EAGAEJTOXN5WCGUVF}

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	2026-05-18T00:20:22.636580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08f034460ef90060113375dbdb08d4a96ace18320cf2332f14ad27549699f805

Aliases

arxiv: 1412.1384 · arxiv_version: 1412.1384v3 · doi: 10.48550/arxiv.1412.1384 · pith_short_12: BDYDIRQO7EAG · pith_short_16: BDYDIRQO7EAGAEJT · pith_short_8: BDYDIRQO

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/BDYDIRQO7EAGAEJTOXN5WCGUVF \
  | 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: 08f034460ef90060113375dbdb08d4a96ace18320cf2332f14ad27549699f805

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8888ebc0d95833851135b2cded7463a8f35cddb90c3cc1f3d98920a58595078c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-03T16:12:55Z",
    "title_canon_sha256": "efd3206ddfe69f20da9cae26a0b37ee6e3e024e9b3ed0f685faf846ad8d2c7d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1384",
    "kind": "arxiv",
    "version": 3
  }
}