Pith Number

pith:FCH2EHSF

pith:2026:FCH2EHSF7B52BKJYRYNEDGCYVS

not attested not anchored not stored refs pending

Hoeffding-Style Concentration Bounds for Exchangeable Random Variables

Michele Caprio, Nina Maria Gottschling

arxiv:2603.10190 v2 · 2026-03-10 · math.OC · 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{FCH2EHSF7B52BKJYRYNEDGCYVS}

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	2026-06-25T01:18:37.234341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

288fa21e45f87ba0a9388e1a419858aca26531ef450339808a89a4d1a5b2e5f2

Aliases

arxiv: 2603.10190 · arxiv_version: 2603.10190v2 · doi: 10.48550/arxiv.2603.10190 · pith_short_12: FCH2EHSF7B52 · pith_short_16: FCH2EHSF7B52BKJY · pith_short_8: FCH2EHSF

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/FCH2EHSF7B52BKJYRYNEDGCYVS \
  | 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: 288fa21e45f87ba0a9388e1a419858aca26531ef450339808a89a4d1a5b2e5f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5feb764f0b4b9b354724eb437a3c026a17b0443e99f9d3e70765cabed7f5fd3f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-03-10T19:32:34Z",
    "title_canon_sha256": "f5ecc63d38f05ffbbdb9e25a50aa4ac2bf086251e1b6bd032a0d1ceb6f4870eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.10190",
    "kind": "arxiv",
    "version": 2
  }
}