Pith Number

pith:MKKSTOAW

pith:2016:MKKSTOAWQ75XZ2AKK6FQW6ZCLC

not attested not anchored not stored refs pending

Haar meager sets, their hulls, and relationship to compact sets

Martin Dole\v{z}al, V\'aclav Vlas\'ak

arxiv:1603.09510 v1 · 2016-03-31 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MKKSTOAWQ75XZ2AKK6FQW6ZCLC}

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	2026-05-18T01:17:58.405744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

629529b81687fb7ce80a578b0b7b2258be450ab9797b7beb373265a83b3174e6

Aliases

arxiv: 1603.09510 · arxiv_version: 1603.09510v1 · doi: 10.48550/arxiv.1603.09510 · pith_short_12: MKKSTOAWQ75X · pith_short_16: MKKSTOAWQ75XZ2AK · pith_short_8: MKKSTOAW

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/MKKSTOAWQ75XZ2AKK6FQW6ZCLC \
  | 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: 629529b81687fb7ce80a578b0b7b2258be450ab9797b7beb373265a83b3174e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53f9a5362228ffeb3b3412340711f30198403ce6a91354756de2bd208946a2cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-03-31T09:55:40Z",
    "title_canon_sha256": "0ad4f4232ac5d2f52521c801163b0be53234f975abb06025cf34789e3a6ac8ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09510",
    "kind": "arxiv",
    "version": 1
  }
}