Pith Number

pith:ZORUM3DN

pith:2013:ZORUM3DN4FPCXVR5ZUSUQ6KH4E

not attested not anchored not stored refs pending

Representation of Crystallographic Subperiodic Groups in Clifford's Geometric Algebra

Daisuke Ichikawa, Eckhard Hitzer

arxiv:1306.2095 v1 · 2013-06-10 · cond-mat.mtrl-sci · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZORUM3DN4FPCXVR5ZUSUQ6KH4E}

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	2026-05-18T03:21:22.409174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cba3466c6de15e2bd63dcd25487947e1190952ea7c8e4144f384607cd7bc5d7b

Aliases

arxiv: 1306.2095 · arxiv_version: 1306.2095v1 · doi: 10.48550/arxiv.1306.2095 · pith_short_12: ZORUM3DN4FPC · pith_short_16: ZORUM3DN4FPCXVR5 · pith_short_8: ZORUM3DN

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/ZORUM3DN4FPCXVR5ZUSUQ6KH4E \
  | 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: cba3466c6de15e2bd63dcd25487947e1190952ea7c8e4144f384607cd7bc5d7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dde0f1909437376db966f9bdcbe443c24dcc781cfc89a69f1edd2f489666b3c5",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2013-06-10T03:32:43Z",
    "title_canon_sha256": "1d182a79f3463d76c9009075cda5b39c7633c5a4abeabb98f303f800affe601d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2095",
    "kind": "arxiv",
    "version": 1
  }
}