Pith Number

pith:YMF3PQGS

pith:2019:YMF3PQGS3WOEIYDRENMXMVL3ZT

not attested not anchored not stored refs pending

Conceptual proofs of the Menger and Rothberger games

Boaz Tsaban, Piotr Szewczak

arxiv:1904.02736 v1 · 2019-04-04 · 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{YMF3PQGS3WOEIYDRENMXMVL3ZT}

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	2026-05-17T23:49:19.846209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c30bb7c0d2dd9c446071235976557bccf006c534f93e72509b93ead09a736c26

Aliases

arxiv: 1904.02736 · arxiv_version: 1904.02736v1 · doi: 10.48550/arxiv.1904.02736 · pith_short_12: YMF3PQGS3WOE · pith_short_16: YMF3PQGS3WOEIYDR · pith_short_8: YMF3PQGS

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/YMF3PQGS3WOEIYDRENMXMVL3ZT \
  | 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: c30bb7c0d2dd9c446071235976557bccf006c534f93e72509b93ead09a736c26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1f78242455c4161793fcb9067d59eba20105942a7ae8c527ca32efe2048fd5d",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2019-04-04T18:20:39Z",
    "title_canon_sha256": "a24c3d803a38ba204f7f5617c330e410922366ac1d2359873385de0123dfbd08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.02736",
    "kind": "arxiv",
    "version": 1
  }
}