Pith Number

pith:B34N2MP7

pith:1996:B34N2MP7UNOHQQ5XLT3XVP5UOK

not attested not anchored not stored refs pending

Subgroups of SO(3) Associated with Tilings

Charles Radin, Lorenzo Sadun

arxiv:math/9601202 v1 · 1996-01-12 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B34N2MP7UNOHQQ5XLT3XVP5UOK}

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	2026-05-18T00:11:07.456462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ef8dd31ffa35c7843b75cf77abfb472a3c7cd82daddd8b59f42fe37930c6ad1

Aliases

arxiv: math/9601202 · arxiv_version: math/9601202v1 · doi: 10.48550/arxiv.math/9601202 · pith_short_12: B34N2MP7UNOH · pith_short_16: B34N2MP7UNOHQQ5X · pith_short_8: B34N2MP7

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/B34N2MP7UNOHQQ5XLT3XVP5UOK \
  | 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: 0ef8dd31ffa35c7843b75cf77abfb472a3c7cd82daddd8b59f42fe37930c6ad1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "046f20c4a61f63e25b41a2dac401987035b2713c6403b85c1e9a65578c5e52fd",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "1996-01-12T00:00:00Z",
    "title_canon_sha256": "c5c61c15697aa95848675b3a05a5d0784df62660d44af663d9a716117b295a12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9601202",
    "kind": "arxiv",
    "version": 1
  }
}