Pith Number

pith:265OGPQC

pith:2013:265OGPQCS7OBO3O46AQT5GGOFF

not attested not anchored not stored refs pending

Angles between subspaces computed in Clifford Algebra

Eckhard Hitzer

arxiv:1306.1825 v1 · 2013-06-07 · math.MG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{265OGPQCS7OBO3O46AQT5GGOFF}

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	2026-05-18T03:21:23.143037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7bae33e0297dc176ddcf0213e98ce295606b9cd3e8d3b8bfb51ddd90a46adce

Aliases

arxiv: 1306.1825 · arxiv_version: 1306.1825v1 · doi: 10.48550/arxiv.1306.1825 · pith_short_12: 265OGPQCS7OB · pith_short_16: 265OGPQCS7OBO3O4 · pith_short_8: 265OGPQC

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/265OGPQCS7OBO3O46AQT5GGOFF \
  | 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: d7bae33e0297dc176ddcf0213e98ce295606b9cd3e8d3b8bfb51ddd90a46adce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd000f515b8193bea4943debe7dafbfe6a8e1be4516dc107fa0ee20a7bd5273e",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-06-07T07:01:14Z",
    "title_canon_sha256": "79d49c69aca5369845edcd7999140329aa38d3af1a417c04d9cc016c64b14085"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1825",
    "kind": "arxiv",
    "version": 1
  }
}