Pith Number

pith:LQTZCNRL

pith:2003:LQTZCNRLNGLAAGT7JSGDSNWOL4

not attested not anchored not stored refs pending

Some Properties of Lattice Substitution Systems

Dirk Frettl\"oh

arxiv:math/0311061 v2 · 2003-11-05 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LQTZCNRLNGLAAGT7JSGDSNWOL4}

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	2026-05-18T03:10:14.841863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c2791362b6996001a7f4c8c3936ce5f1d682ef2768e6acc4c6ebbe934a90417

Aliases

arxiv: math/0311061 · arxiv_version: math/0311061v2 · doi: 10.48550/arxiv.math/0311061 · pith_short_12: LQTZCNRLNGLA · pith_short_16: LQTZCNRLNGLAAGT7 · pith_short_8: LQTZCNRL

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/LQTZCNRLNGLAAGT7JSGDSNWOL4 \
  | 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: 5c2791362b6996001a7f4c8c3936ce5f1d682ef2768e6acc4c6ebbe934a90417

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a5376ab67d49bf9c7f7f2c5ebe62f4840324fd30d980226978c5d87edb0b7a3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "2003-11-05T16:52:55Z",
    "title_canon_sha256": "6c9f27c046a918198fb7c9893488a0b9077235fbaabbf2eb356492241f507107"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311061",
    "kind": "arxiv",
    "version": 2
  }
}