Pith Number

pith:6PVNLDDC

pith:2013:6PVNLDDCU4QIPQJZGMHL3XFDVJ

not attested not anchored not stored refs pending

Representation of Crystallographic Subperiodic Groups by Geometric Algebra

Daisuke Ichikawa, Eckhard Hitzer

arxiv:1306.1280 v1 · 2013-06-06 · cond-mat.mtrl-sci · math.GR · 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{6PVNLDDCU4QIPQJZGMHL3XFDVJ}

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	2026-05-18T03:21:42.792124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3ead58c62a72087c139330ebddca3aa54decb08aa4fc93bc377df82f317d40e

Aliases

arxiv: 1306.1280 · arxiv_version: 1306.1280v1 · doi: 10.48550/arxiv.1306.1280 · pith_short_12: 6PVNLDDCU4QI · pith_short_16: 6PVNLDDCU4QIPQJZ · pith_short_8: 6PVNLDDC

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/6PVNLDDCU4QIPQJZGMHL3XFDVJ \
  | 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: f3ead58c62a72087c139330ebddca3aa54decb08aa4fc93bc377df82f317d40e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edc377cc74dc678c91a050b3850451d18114b0f57d95bebf05320139deeb15f5",
    "cross_cats_sorted": [
      "math.GR",
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2013-06-06T01:41:33Z",
    "title_canon_sha256": "defde7cfe352db1652d2568b31ae6225fb39a818f2684885a869e66bfe8544d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1280",
    "kind": "arxiv",
    "version": 1
  }
}