Pith Number

pith:YN5JHVZI

pith:2019:YN5JHVZIDFKNJBO6BXIY2VHOFW

not attested not anchored not stored refs pending

On some relations between properties of invariant $\sigma$-ideals in Polish spaces

Marcin Michalski

arxiv:1907.09306 v1 · 2019-07-18 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YN5JHVZIDFKNJBO6BXIY2VHOFW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:39:59.540336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c37a93d7281954d485de0dd18d54ee2db9f76552766989571fb3ebc77acc3c48

Aliases

arxiv: 1907.09306 · arxiv_version: 1907.09306v1 · doi: 10.48550/arxiv.1907.09306 · pith_short_12: YN5JHVZIDFKN · pith_short_16: YN5JHVZIDFKNJBO6 · pith_short_8: YN5JHVZI

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/YN5JHVZIDFKNJBO6BXIY2VHOFW \
  | 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: c37a93d7281954d485de0dd18d54ee2db9f76552766989571fb3ebc77acc3c48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d082695436ebd3881ec6aec17486eef147abaa2ed2458d58a75e7c292a48cd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2019-07-18T22:37:16Z",
    "title_canon_sha256": "751e074923806d94934a2bde5122cc4330effb128e9751c4560f8eafae6e47be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09306",
    "kind": "arxiv",
    "version": 1
  }
}