Pith Number

pith:MEOUE3MS

pith:2025:MEOUE3MS5CTPJOBF3GA3L5TUMG

not attested not anchored not stored refs pending

On Effective Banach-Mazur Games and an application to the Poincar\'e Recurrence Theorem for Category

Prajval Koul, Satyadev Nandakumar

arxiv:2506.11118 v2 · 2025-06-09 · math.LO · cs.LO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MEOUE3MS5CTPJOBF3GA3L5TUMG}

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	2026-06-02T02:04:47.203244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

611d426d92e8a6f4b825d981b5f674619b4691056be7a010f7ac04ea6dbae6a5

Aliases

arxiv: 2506.11118 · arxiv_version: 2506.11118v2 · doi: 10.48550/arxiv.2506.11118 · pith_short_12: MEOUE3MS5CTP · pith_short_16: MEOUE3MS5CTPJOBF · pith_short_8: MEOUE3MS

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/MEOUE3MS5CTPJOBF3GA3L5TUMG \
  | 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: 611d426d92e8a6f4b825d981b5f674619b4691056be7a010f7ac04ea6dbae6a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85c9af6f79a381a5ca398b27a8556a5366338c192e784a34e76d0d85f60f4534",
    "cross_cats_sorted": [
      "cs.LO",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-06-09T17:25:08Z",
    "title_canon_sha256": "38a4f15151cfcff09eb52fd4d6713f432f3f7b14809294547ff5f4b3b6978173"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11118",
    "kind": "arxiv",
    "version": 2
  }
}