Pith Number

pith:4OUUXDFV

pith:2026:4OUUXDFVJP32QYD2GFIVAISEDL

not attested not anchored not stored refs pending

A Conditional Quantile Approach to Vector-Valued Bivariate Lorenz Surfaces: Properties and Applications

Shifna P R, S.M. Sunoj

arxiv:2607.19780 v1 · 2026-07-22 · stat.OT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OUUXDFVJP32QYD2GFIVAISEDL}

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	2026-07-23T01:23:58.896035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3a94b8cb54bf7a8607a31515022441af6f492e081f68ad3dc312cd32d5743c1

Aliases

arxiv: 2607.19780 · arxiv_version: 2607.19780v1 · doi: 10.48550/arxiv.2607.19780 · pith_short_12: 4OUUXDFVJP32 · pith_short_16: 4OUUXDFVJP32QYD2 · pith_short_8: 4OUUXDFV

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/4OUUXDFVJP32QYD2GFIVAISEDL \
  | 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: e3a94b8cb54bf7a8607a31515022441af6f492e081f68ad3dc312cd32d5743c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "181f6121f2dc3d68065d7015fee7809d48f3a42a779f675a1fb435320b892e1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.OT",
    "submitted_at": "2026-07-22T05:58:05Z",
    "title_canon_sha256": "6e73a7b16970ccde7536690c2860dc987e61e18bd5dce2573efc2a6542e08ea9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19780",
    "kind": "arxiv",
    "version": 1
  }
}