Pith Number

pith:JA3BH7GF

pith:2015:JA3BH7GF6NXYDW54HU2Q44Q267

not attested not anchored not stored refs pending

The Banach-Mazur-Schmidt game and the Banach-Mazur-McMullen game

David Simmons, Lior Fishman, Vanessa Reams

arxiv:1503.03428 v2 · 2015-03-11 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JA3BH7GF6NXYDW54HU2Q44Q267}

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	2026-05-18T01:28:14.490418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

483613fcc5f36f81dbbc3d350e721af7f26745eed243d69875d6c019e55386c7

Aliases

arxiv: 1503.03428 · arxiv_version: 1503.03428v2 · doi: 10.48550/arxiv.1503.03428 · pith_short_12: JA3BH7GF6NXY · pith_short_16: JA3BH7GF6NXYDW54 · pith_short_8: JA3BH7GF

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/JA3BH7GF6NXYDW54HU2Q44Q267 \
  | 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: 483613fcc5f36f81dbbc3d350e721af7f26745eed243d69875d6c019e55386c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c502d4b248a1e67971f7bb65dc40c8aed8d8374c1ad9cb3eb5bb7c99aeff6dea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-11T17:36:40Z",
    "title_canon_sha256": "d2c2025459e8524124bd8d5895ecb968c0e250363e0aa519fa873ed13470aa23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03428",
    "kind": "arxiv",
    "version": 2
  }
}