Pith Number

pith:YKJRS35Y

pith:2011:YKJRS35YO3QWG3RT6YEDOWZKEV

not attested not anchored not stored refs pending

The descriptive set theory of the Lebesgue density theorem

Alessandro Andretta, Riccardo Camerlo

arxiv:1105.3355 v1 · 2011-05-17 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YKJRS35YO3QWG3RT6YEDOWZKEV}

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	2026-05-18T04:22:00.194564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c293196fb876e1636e33f608375b2a25552acaaeab28464ac779b71604548b02

Aliases

arxiv: 1105.3355 · arxiv_version: 1105.3355v1 · doi: 10.48550/arxiv.1105.3355 · pith_short_12: YKJRS35YO3QW · pith_short_16: YKJRS35YO3QWG3RT · pith_short_8: YKJRS35Y

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/YKJRS35YO3QWG3RT6YEDOWZKEV \
  | 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: c293196fb876e1636e33f608375b2a25552acaaeab28464ac779b71604548b02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3b7b6d492b5eb1bae174edaf260f3f4b6fb7717ce3af4748558a407d48c07da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-05-17T12:39:34Z",
    "title_canon_sha256": "3ff672a7ad76929c95d2c401b81ca6ce7baab09a3cd6e6ccc56c744c788c2cdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3355",
    "kind": "arxiv",
    "version": 1
  }
}