Pith Number

pith:FGRYESHT

pith:2015:FGRYESHTUK6JVL4YYWBR77AJU3

not attested not anchored not stored refs pending

Comparison Inequalities for Order Statistics of Gaussian Arrays

C. Ling, E. Hashorva, K. Debicki, L. Ji

arxiv:1503.09094 v1 · 2015-03-31 · 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{FGRYESHTUK6JVL4YYWBR77AJU3}

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	2026-05-18T02:19:51.428301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29a38248f3a2bc9aaf98c5831ffc09a6e127333e578102f3bb186b1a3e140a1a

Aliases

arxiv: 1503.09094 · arxiv_version: 1503.09094v1 · doi: 10.48550/arxiv.1503.09094 · pith_short_12: FGRYESHTUK6J · pith_short_16: FGRYESHTUK6JVL4Y · pith_short_8: FGRYESHT

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/FGRYESHTUK6JVL4YYWBR77AJU3 \
  | 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: 29a38248f3a2bc9aaf98c5831ffc09a6e127333e578102f3bb186b1a3e140a1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f5d17d091fe79e54ae4f619c094cf9cf8cc832c6f00b207591cedd15dea060c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-31T15:37:47Z",
    "title_canon_sha256": "fb66c8497acaf1bd329b732e2552ec65d4e862be6e290714d0ab4f260a1d4e6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.09094",
    "kind": "arxiv",
    "version": 1
  }
}