Pith Number

pith:D2AUJQGP

pith:2019:D2AUJQGPM2G7EK2JENZ2RT6R73

not attested not anchored not stored refs pending

The Family of Alpha,[a,b] Stochastic Orders: Risk vs. Expected Value

Andres Perlroth, Bar Light

arxiv:1908.06398 v5 · 2019-08-18 · math.PR · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D2AUJQGPM2G7EK2JENZ2RT6R73}

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	2026-07-05T02:35:11.027822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e8144c0cf668df22b492373a8cfd1fecd3d469e7802cdfebf66f00c805479cb

Aliases

arxiv: 1908.06398 · arxiv_version: 1908.06398v5 · doi: 10.48550/arxiv.1908.06398 · pith_short_12: D2AUJQGPM2G7 · pith_short_16: D2AUJQGPM2G7EK2J · pith_short_8: D2AUJQGP

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/D2AUJQGPM2G7EK2JENZ2RT6R73 \
  | 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: 1e8144c0cf668df22b492373a8cfd1fecd3d469e7802cdfebf66f00c805479cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94de3cbe9320ce61b4e423f42dee664f1fec2b0713b1f1aebadbb6c024d4f4f2",
    "cross_cats_sorted": [
      "econ.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-18T08:32:01Z",
    "title_canon_sha256": "3558f6c049955ec2a7b1be3973f8c5928c8ab367f9e1484303aed60ecfc78771"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06398",
    "kind": "arxiv",
    "version": 5
  }
}