Pith Number

pith:TTIUO3DA

pith:2026:TTIUO3DAIZVLGNSAFKBLHZJOND

not attested not anchored not stored refs pending

A Study on Cumulative Residual Extropy of Linear Consecutive k-out-of-n:G Systems

Aman Pandey, Chanchal Kundu

arxiv:2607.06992 v1 · 2026-07-08 · math.ST · stat.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{TTIUO3DAIZVLGNSAFKBLHZJOND}

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	2026-07-09T01:20:11.991846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cd1476c60466ab336402a82b3e52e68e84a6ef72446704f1ed635dcc3047f88

Aliases

arxiv: 2607.06992 · arxiv_version: 2607.06992v1 · doi: 10.48550/arxiv.2607.06992 · pith_short_12: TTIUO3DAIZVL · pith_short_16: TTIUO3DAIZVLGNSA · pith_short_8: TTIUO3DA

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/TTIUO3DAIZVLGNSAFKBLHZJOND \
  | 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: 9cd1476c60466ab336402a82b3e52e68e84a6ef72446704f1ed635dcc3047f88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3de5d6a542248d9463dbcad95014b624b1cbd3a242d5237f8200122de620ce99",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-07-08T04:28:41Z",
    "title_canon_sha256": "12967cf7bd5103bebea993877fd63b67004f1a0eb7a5c783a051531cba819aae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06992",
    "kind": "arxiv",
    "version": 1
  }
}