Pith Number

pith:R3AT63EZ

pith:2001:R3AT63EZF5OCW2YAV4ZJAMKYI2

not attested not anchored not stored refs pending

Selection principles and the minimal tower problem

Boaz Tsaban

arxiv:math/0105045 v6 · 2001-05-06 · math.LO · math.CO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R3AT63EZF5OCW2YAV4ZJAMKYI2}

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	2026-05-18T04:42:45.019096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ec13f6c992f5c2b6b00af3290315846bdac5d8b64259f0dbcdeef567cd5c684

Aliases

arxiv: math/0105045 · arxiv_version: math/0105045v6 · doi: 10.48550/arxiv.math/0105045 · pith_short_12: R3AT63EZF5OC · pith_short_16: R3AT63EZF5OCW2YA · pith_short_8: R3AT63EZ

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/R3AT63EZF5OCW2YAV4ZJAMKYI2 \
  | 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: 8ec13f6c992f5c2b6b00af3290315846bdac5d8b64259f0dbcdeef567cd5c684

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2802aa5820a74952746f0b82072b2fb75f76b40cf1f8bdb9bd92059897252178",
    "cross_cats_sorted": [
      "math.CO",
      "math.GN"
    ],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "2001-05-06T17:16:24Z",
    "title_canon_sha256": "ce77f5332f511ef5e0e5dfd66db276829b392c84611df6698bb403c3d4cc29cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0105045",
    "kind": "arxiv",
    "version": 6
  }
}