Pith Number

pith:V27GRQEJ

pith:2013:V27GRQEJEMRCJLJRPNCVCASWDD

not attested not anchored not stored refs pending

Crystal planes and reciprocal space in Clifford geometric algebra

Eckhard Hitzer

arxiv:1306.1646 v1 · 2013-06-07 · cond-mat.mtrl-sci · math.RA · physics.chem-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V27GRQEJEMRCJLJRPNCVCASWDD}

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	2026-05-18T03:21:32.843331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aebe68c089232224ad317b4551025618d041ae4fca3b2c32d1f149ef99077368

Aliases

arxiv: 1306.1646 · arxiv_version: 1306.1646v1 · doi: 10.48550/arxiv.1306.1646 · pith_short_12: V27GRQEJEMRC · pith_short_16: V27GRQEJEMRCJLJR · pith_short_8: V27GRQEJ

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/V27GRQEJEMRCJLJRPNCVCASWDD \
  | 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: aebe68c089232224ad317b4551025618d041ae4fca3b2c32d1f149ef99077368

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "033dcfde196ceca485a2cfa5ac87f8cdf38ae9155656ea6e51dfbec41e401278",
    "cross_cats_sorted": [
      "math.RA",
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2013-06-07T08:03:27Z",
    "title_canon_sha256": "589dc1f55218e6eec5427960f3a7efdd238a095c85c493c821b1103592b4e072"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1646",
    "kind": "arxiv",
    "version": 1
  }
}