Pith Number

pith:P7CFWFLF

pith:2013:P7CFWFLF4ZNHFWT7EY5UKXDH6F

not attested not anchored not stored refs pending

New views of crystal symmetry guided by profound admiration of the extraordinary works of Grassmann and Clifford

Eckhard Hitzer

arxiv:1306.2124 v1 · 2013-06-10 · cond-mat.mtrl-sci · cs.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{P7CFWFLF4ZNHFWT7EY5UKXDH6F}

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	2026-05-18T03:21:22.293601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fc45b1565e65a72da7f263b455c67f16d93e0f8f3c2acc267c8a2f85eb6af62

Aliases

arxiv: 1306.2124 · arxiv_version: 1306.2124v1 · doi: 10.48550/arxiv.1306.2124 · pith_short_12: P7CFWFLF4ZNH · pith_short_16: P7CFWFLF4ZNHFWT7 · pith_short_8: P7CFWFLF

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/P7CFWFLF4ZNHFWT7EY5UKXDH6F \
  | 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: 7fc45b1565e65a72da7f263b455c67f16d93e0f8f3c2acc267c8a2f85eb6af62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7e45c322d074924a38770d1cce1245b1871c850b3facd3f1bfdd91157757718",
    "cross_cats_sorted": [
      "cs.GR",
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2013-06-10T07:45:02Z",
    "title_canon_sha256": "715f5aee8f2ba3df119477f83876bea72a1a90eb1cf66d35ba665ec952930c2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2124",
    "kind": "arxiv",
    "version": 1
  }
}