Pith Number

pith:LZKHT533

pith:2013:LZKHT533UTEHRWB6T4FMHMVUUO

not attested not anchored not stored refs pending

Angles between subspaces

Eckhard Hitzer

arxiv:1306.1629 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{LZKHT533UTEHRWB6T4FMHMVUUO}

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	2026-05-18T03:21:32.874600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e5479f77ba4c878d83e9f0ac3b2b4a39599588e252c0d04066ae0925b2e4e61

Aliases

arxiv: 1306.1629 · arxiv_version: 1306.1629v1 · doi: 10.48550/arxiv.1306.1629 · pith_short_12: LZKHT533UTEH · pith_short_16: LZKHT533UTEHRWB6 · pith_short_8: LZKHT533

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/LZKHT533UTEHRWB6T4FMHMVUUO \
  | 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: 5e5479f77ba4c878d83e9f0ac3b2b4a39599588e252c0d04066ae0925b2e4e61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4bdf8a8ee88553fdc8d50b9b6aad733ca19f6f995e41b2ff61167b815571beb",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-06-07T06:38:08Z",
    "title_canon_sha256": "c455836d6de80f983d654a37160b91ce84fe5f7f8be68ec6c6a13f78969eeb5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1629",
    "kind": "arxiv",
    "version": 1
  }
}