Pith Number

pith:3ETGG74P

pith:2026:3ETGG74PRMAVX3GA5VZICJBKQN

not attested not anchored not stored refs pending

Note on the Weak Convergence of Hyperplane $\alpha$-Quantile Functionals and Their Continuity in the Skorokhod J1 Topology

Pietro Maria Sparago

arxiv:2605.20471 v1 · 2026-05-19 · 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{3ETGG74PRMAVX3GA5VZICJBKQN}

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	2026-05-21T01:04:39.071964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d926637f8f8b015becc0ed7281242a83522ef6c41f9d47c9d3de262fc60cdebc

Aliases

arxiv: 2605.20471 · arxiv_version: 2605.20471v1 · doi: 10.48550/arxiv.2605.20471 · pith_short_12: 3ETGG74PRMAV · pith_short_16: 3ETGG74PRMAVX3GA · pith_short_8: 3ETGG74P

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/3ETGG74PRMAVX3GA5VZICJBKQN \
  | 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: d926637f8f8b015becc0ed7281242a83522ef6c41f9d47c9d3de262fc60cdebc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19669805051c8ab0c61850973c35b870c9ea14ca193717772b48306f8cb40d1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-19T20:36:39Z",
    "title_canon_sha256": "16a0a86f2a36bd5812b0d58a8f4051c38ccaec62e23c0ca90fb487be8d622717"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20471",
    "kind": "arxiv",
    "version": 1
  }
}