Pith Number

pith:QA47DFH5

pith:2011:QA47DFH5OEZE5EH6ESUZEVUDTL

not attested not anchored not stored refs pending

Can we assign the Borel hulls in a monotone way?

Andr\'as M\'ath\'e, M\'arton Elekes

arxiv:1109.4862 v1 · 2011-09-22 · math.CA · 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{QA47DFH5OEZE5EH6ESUZEVUDTL}

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	2026-05-18T04:12:32.772527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8039f194fd71324e90fe24a99256839ae698d7d66d6448d021502986cdf6c0fb

Aliases

arxiv: 1109.4862 · arxiv_version: 1109.4862v1 · doi: 10.48550/arxiv.1109.4862 · pith_short_12: QA47DFH5OEZE · pith_short_16: QA47DFH5OEZE5EH6 · pith_short_8: QA47DFH5

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/QA47DFH5OEZE5EH6ESUZEVUDTL \
  | 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: 8039f194fd71324e90fe24a99256839ae698d7d66d6448d021502986cdf6c0fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0159a8f9a2ee3db6078424fa43287d0d5be8ba69c00f4383822e1364f7531d52",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-09-22T16:06:29Z",
    "title_canon_sha256": "8785c09c09006db5a4ef8e2a78e6f4e3e5e4ab1b7757ec9cddcf38abf55c7b9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4862",
    "kind": "arxiv",
    "version": 1
  }
}