Pith Number

pith:T4YDCHGP

pith:2025:T4YDCHGPVVBGOAFGRRVMUH6E6H

not attested not anchored not stored refs pending

A data-based notion of quantiles on Hadamard spaces

Ha-Young Shin, Hee-Seok Oh

arxiv:2506.12534 v1 · 2025-06-14 · stat.ME · 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{T4YDCHGPVVBGOAFGRRVMUH6E6H}

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	2026-07-05T11:21:54.892465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f30311ccfad426700a68c6aca1fc4f1d232437b381d0aff94ff0885ed2c448c

Aliases

arxiv: 2506.12534 · arxiv_version: 2506.12534v1 · doi: 10.48550/arxiv.2506.12534 · pith_short_12: T4YDCHGPVVBG · pith_short_16: T4YDCHGPVVBGOAFG · pith_short_8: T4YDCHGP

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/T4YDCHGPVVBGOAFGRRVMUH6E6H \
  | 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: 9f30311ccfad426700a68c6aca1fc4f1d232437b381d0aff94ff0885ed2c448c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21d637612cf5020610c82e72ed7f7dd318d4da96449f8194e2a711984c97d4c1",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2025-06-14T15:09:04Z",
    "title_canon_sha256": "7cb09e142b2d1b630bafc7f233a34c2aacea79ede9f8e8eddecad265015d28ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.12534",
    "kind": "arxiv",
    "version": 1
  }
}