Pith Number

pith:BXS3XAZL

pith:2003:BXS3XAZLPPTH5N5XP5YT2N65R2

not attested not anchored not stored refs pending

o-bounded groups and other topological groups with strong combinatorial properties

Boaz Tsaban

arxiv:math/0307225 v7 · 2003-07-16 · math.GN · math.CO · math.GR · 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{BXS3XAZLPPTH5N5XP5YT2N65R2}

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	2026-05-18T04:37:23.181935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0de5bb832b7be67eb7b77f713d37dd8e84406825db7a122a31e3ec2714b1465a

Aliases

arxiv: math/0307225 · arxiv_version: math/0307225v7 · doi: 10.48550/arxiv.math/0307225 · pith_short_12: BXS3XAZLPPTH · pith_short_16: BXS3XAZLPPTH5N5X · pith_short_8: BXS3XAZL

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/BXS3XAZLPPTH5N5XP5YT2N65R2 \
  | 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: 0de5bb832b7be67eb7b77f713d37dd8e84406825db7a122a31e3ec2714b1465a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76d91b1dbd4a8883964b0986b0422ad07013402318d2bad35258e73a9baef687",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2003-07-16T15:18:13Z",
    "title_canon_sha256": "5e27dcd9fa64f8894706ff0aec3d2af11706315638078ce8db18a390f9525add"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0307225",
    "kind": "arxiv",
    "version": 7
  }
}