Pith Number

pith:UJHKEFYR

pith:2014:UJHKEFYRNO3JSVFEPPYEQZCONL

not attested not anchored not stored refs pending

An $\alpha$-stable limit theorem under sublinear expectation

Alexander Munk, Erhan Bayraktar

arxiv:1409.7960 v4 · 2014-09-28 · math.PR · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJHKEFYRNO3JSVFEPPYEQZCONL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:11:55.350371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a24ea217116bb69954a47bf048644e6afb983611e25fd99b65db34473b56f3d1

Aliases

arxiv: 1409.7960 · arxiv_version: 1409.7960v4 · doi: 10.48550/arxiv.1409.7960 · pith_short_12: UJHKEFYRNO3J · pith_short_16: UJHKEFYRNO3JSVFE · pith_short_8: UJHKEFYR

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/UJHKEFYRNO3JSVFEPPYEQZCONL \
  | 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: a24ea217116bb69954a47bf048644e6afb983611e25fd99b65db34473b56f3d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce9c1a7412416265162804c27b44fa18941ca81c491f346c921be1f98f3a57d2",
    "cross_cats_sorted": [
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-28T21:28:25Z",
    "title_canon_sha256": "815e47320de8bcb6c94cf756fae1124fa697e28847247781a4a45b550b27f403"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7960",
    "kind": "arxiv",
    "version": 4
  }
}