Pith Number

pith:5O446CP7

pith:2013:5O446CP73SYHBK5NGEXXI62DPC

not attested not anchored not stored refs pending

Euclidean Geometric Objects in the Clifford Geometric Algebra of {Origin, 3-Space, Infinity}

Eckhard Hitzer

arxiv:1306.1007 v1 · 2013-06-05 · 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{5O446CP73SYHBK5NGEXXI62DPC}

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	2026-05-18T03:21:44.635284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebb9cf09ffdcb070abad312f747b437895abd5f896275b390d7ade306663688f

Aliases

arxiv: 1306.1007 · arxiv_version: 1306.1007v1 · doi: 10.48550/arxiv.1306.1007 · pith_short_12: 5O446CP73SYH · pith_short_16: 5O446CP73SYHBK5N · pith_short_8: 5O446CP7

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/5O446CP73SYHBK5NGEXXI62DPC \
  | 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: ebb9cf09ffdcb070abad312f747b437895abd5f896275b390d7ade306663688f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2578d8e2b3df475a1e16413a1df00587f286f912fac9ec83ab55cf54b886f9be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-06-05T07:32:17Z",
    "title_canon_sha256": "1284830cbb25aeafdc62c8582265b8199812f4f1ad268b5a93ad2a366b9fc724"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1007",
    "kind": "arxiv",
    "version": 1
  }
}