Pith Number

pith:XJQFBGS4

pith:2012:XJQFBGS4VKCSOSCEDX5KLPQ774

not attested not anchored not stored refs pending

Testing equality of functions under monotonicity constraints

C\'ecile Durot, Hendrik P. Lopuha\"a, Piet Groeneboom

arxiv:1207.2118 v2 · 2012-07-09 · 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{XJQFBGS4VKCSOSCEDX5KLPQ774}

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	2026-05-18T03:19:35.282614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba60509a5caa852748441dfaa5be1fff0d55901d95d3bd54f27aa1bbef013870

Aliases

arxiv: 1207.2118 · arxiv_version: 1207.2118v2 · doi: 10.48550/arxiv.1207.2118 · pith_short_12: XJQFBGS4VKCS · pith_short_16: XJQFBGS4VKCSOSCE · pith_short_8: XJQFBGS4

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/XJQFBGS4VKCSOSCEDX5KLPQ774 \
  | 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: ba60509a5caa852748441dfaa5be1fff0d55901d95d3bd54f27aa1bbef013870

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eaa6b33e878a9737ce7aef8df85b9bc9bb3bbab099f3669cfa1acfbc42da27b",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-07-09T18:31:56Z",
    "title_canon_sha256": "714629e134093f2958cd6901626ff97888b0b47207c57a6a3184cbb1c0438cab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2118",
    "kind": "arxiv",
    "version": 2
  }
}