Pith Number

pith:Q2ICRIB6

pith:2017:Q2ICRIB6EJEWUU5UU33IDN6PCV

not attested not anchored not stored refs pending

Haar-smallest sets

Adam Kwela

arxiv:1711.09753 v4 · 2017-11-22 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q2ICRIB6EJEWUU5UU33IDN6PCV}

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	2026-05-17T23:48:17.588497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

869028a03e22496a53b4a6f681b7cf15433ed14adedc8862f9b6f57d8955b0d8

Aliases

arxiv: 1711.09753 · arxiv_version: 1711.09753v4 · doi: 10.48550/arxiv.1711.09753 · pith_short_12: Q2ICRIB6EJEW · pith_short_16: Q2ICRIB6EJEWUU5U · pith_short_8: Q2ICRIB6

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/Q2ICRIB6EJEWUU5UU33IDN6PCV \
  | 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: 869028a03e22496a53b4a6f681b7cf15433ed14adedc8862f9b6f57d8955b0d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feae085aa199855c23937aef26d1b9942940c417440280177fb9c0a503600fdc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-11-22T21:45:48Z",
    "title_canon_sha256": "468413216204fa4a07eca6baed845d3bf20c3c0e8c3e67cd47664ae1002802bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09753",
    "kind": "arxiv",
    "version": 4
  }
}