Pith Number

pith:WL2PYXJC

pith:2019:WL2PYXJCQBWIVKTNA6I3ECA4LR

not attested not anchored not stored refs pending

Products of Luzin-type sets with combinatorial properties

Grzegorz Wi\'sniewski, Piotr Szewczak

arxiv:1903.05208 v1 · 2019-03-12 · math.GN · 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{WL2PYXJCQBWIVKTNA6I3ECA4LR}

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	2026-05-17T23:51:25.129275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2f4fc5d22806c8aaa6d0791b2081c5c6a0c2e107dbee7280f07fa251d44d987

Aliases

arxiv: 1903.05208 · arxiv_version: 1903.05208v1 · doi: 10.48550/arxiv.1903.05208 · pith_short_12: WL2PYXJCQBWI · pith_short_16: WL2PYXJCQBWIVKTN · pith_short_8: WL2PYXJC

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/WL2PYXJCQBWIVKTNA6I3ECA4LR \
  | 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: b2f4fc5d22806c8aaa6d0791b2081c5c6a0c2e107dbee7280f07fa251d44d987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93f3a97c798bb7d88b75a5780caaf2635171ba247abe09dbadf3c3eb79ee1aa2",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2019-03-12T20:52:46Z",
    "title_canon_sha256": "4d77000c2dfc19d1eb656aedee738c0cd15abf77c2dd960e6665c2b2b5d1aaf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05208",
    "kind": "arxiv",
    "version": 1
  }
}