Pith Number

pith:MLTTCW22

pith:2018:MLTTCW22IPFCI5L62AMBRCXH7P

not attested not anchored not stored refs pending

A right-invariant lattice-order on groups of paraunitary matrices

Carsten Dietzel

arxiv:1806.06971 v1 · 2018-06-18 · math.QA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MLTTCW22IPFCI5L62AMBRCXH7P}

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	2026-05-18T00:12:57.905130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62e7315b5a43ca24757ed018188ae7fbeb805dadbe4a89164e2d52a0fc02ff06

Aliases

arxiv: 1806.06971 · arxiv_version: 1806.06971v1 · doi: 10.48550/arxiv.1806.06971 · pith_short_12: MLTTCW22IPFC · pith_short_16: MLTTCW22IPFCI5L6 · pith_short_8: MLTTCW22

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/MLTTCW22IPFCI5L62AMBRCXH7P \
  | 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: 62e7315b5a43ca24757ed018188ae7fbeb805dadbe4a89164e2d52a0fc02ff06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06971b09c5d24be26cf80fa27fe4c2ceeccf4e58c00d6816ad91c8d3ef113952",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-06-18T22:27:31Z",
    "title_canon_sha256": "6ef40990cff32d1a0104ac7956a7c30f43493c200bb99685d5dd8fec279f1424"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06971",
    "kind": "arxiv",
    "version": 1
  }
}