Pith Number

pith:MICIARZ7

pith:2026:MICIARZ7FMCBSY3WBGCHNV2XBD

not attested not anchored not stored refs pending

Universal Refinement without Interaction: Order-Optimal 1-Bit Mean Estimation

Yuchen Miao

arxiv:2607.24358 v1 · 2026-07-27 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MICIARZ7FMCBSY3WBGCHNV2XBD}

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	2026-07-28T02:23:59.062978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

620480473f2b04196376098476d75708f874c5fb373047a53f6d927fa0204fbf

Aliases

arxiv: 2607.24358 · arxiv_version: 2607.24358v1 · doi: 10.48550/arxiv.2607.24358 · pith_short_12: MICIARZ7FMCB · pith_short_16: MICIARZ7FMCBSY3W · pith_short_8: MICIARZ7

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/MICIARZ7FMCBSY3WBGCHNV2XBD \
  | 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: 620480473f2b04196376098476d75708f874c5fb373047a53f6d927fa0204fbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e1e88804fe19efc6d6471d727992d29cc426848de862f5faba4872beed4c9f5",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-07-27T12:35:21Z",
    "title_canon_sha256": "9a174bd28d4c0827e3870f26f655d0e425effa09d2e714c53d5d9464c02cfc39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24358",
    "kind": "arxiv",
    "version": 1
  }
}