Pith Number

pith:IFGXYZ3T

pith:2026:IFGXYZ3TQQBQJXQGRP4N62GZBR

not attested not anchored not stored refs pending

On Rates Attainable under Random Design: A Negative Answer to a Problem of Robins

Patrick Lopatto, P. M. Aronow

arxiv:2607.13170 v1 · 2026-07-14 · 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{IFGXYZ3TQQBQJXQGRP4N62GZBR}

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	2026-07-16T00:22:01.004769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

414d7c6773840304de068bf8df68d90c5c9caed99f93d53c1687c2fc5139015d

Aliases

arxiv: 2607.13170 · arxiv_version: 2607.13170v1 · doi: 10.48550/arxiv.2607.13170 · pith_short_12: IFGXYZ3TQQBQ · pith_short_16: IFGXYZ3TQQBQJXQG · pith_short_8: IFGXYZ3T

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/IFGXYZ3TQQBQJXQGRP4N62GZBR \
  | 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: 414d7c6773840304de068bf8df68d90c5c9caed99f93d53c1687c2fc5139015d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b909b85392fe45ef27fbb59ae919c69b7218d858178a472822d52c9a5be46ef",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-07-14T18:20:52Z",
    "title_canon_sha256": "9c4189cabb896b87d8fc5beb5bf93db2c47317b324b0b41ce8755c7a1267f21b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13170",
    "kind": "arxiv",
    "version": 1
  }
}