Pith Number

pith:AWUBSU6X

pith:2012:AWUBSU6XLC64XOKM4HPBRTE2EF

not attested not anchored not stored refs pending

Homological aperiodic tilings of 3-dimensional geometries

Piotr W. Nowak, Shmuel Weinberger

arxiv:1201.0919 v2 · 2012-01-04 · math.GR · math.DS · math.GT · 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{AWUBSU6XLC64XOKM4HPBRTE2EF}

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	2026-05-18T03:55:35.422431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05a81953d758bdcbb94ce1de18cc9a21561c6f43bec30221656c55af4ce55d7a

Aliases

arxiv: 1201.0919 · arxiv_version: 1201.0919v2 · doi: 10.48550/arxiv.1201.0919 · pith_short_12: AWUBSU6XLC64 · pith_short_16: AWUBSU6XLC64XOKM · pith_short_8: AWUBSU6X

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/AWUBSU6XLC64XOKM4HPBRTE2EF \
  | 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: 05a81953d758bdcbb94ce1de18cc9a21561c6f43bec30221656c55af4ce55d7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68be034d05c9d057ad3a31f1504960582214f8ac888ecf37649a87c9dc561605",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-01-04T15:30:43Z",
    "title_canon_sha256": "59246549ef2acb247588ef5a499c26d7296ffc6e43db91960bf4a1c18cea0704"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0919",
    "kind": "arxiv",
    "version": 2
  }
}