Pith Number

pith:ZIX4XS6E

pith:2018:ZIX4XS6ENF2P3FQZJOXW3L56FB

not attested not anchored not stored refs pending

Sarrus rules and dihedral groups

Dirk A. Lorenz, Karl-Joachim Wirths

arxiv:1809.08948 v2 · 2018-09-21 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZIX4XS6ENF2P3FQZJOXW3L56FB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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.

Cited by

1 paper in Pith

ARE Method: Orbital Decompositions and Dihedral Cancellations for Determinants

Receipt and verification

First computed	2026-05-18T00:04:44.295353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca2fcbcbc46974fd96194baf6dafbe284417ea6c433f6c2065466dca627c2166

Aliases

arxiv: 1809.08948 · arxiv_version: 1809.08948v2 · doi: 10.48550/arxiv.1809.08948 · pith_short_12: ZIX4XS6ENF2P · pith_short_16: ZIX4XS6ENF2P3FQZ · pith_short_8: ZIX4XS6E

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/ZIX4XS6ENF2P3FQZJOXW3L56FB \
  | 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: ca2fcbcbc46974fd96194baf6dafbe284417ea6c433f6c2065466dca627c2166

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8c66cda8ccdff0b8374f3115515d75b0e2f8a31315d5b4d96c238530b087deb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-21T06:44:02Z",
    "title_canon_sha256": "ade8eb8d2941652ca5b491c9c2b994c8e13cceb4099b4802c0ad62ac3892380d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08948",
    "kind": "arxiv",
    "version": 2
  }
}