Pith Number

pith:JZB7YORN

pith:2016:JZB7YORN5OYSH76BPF64P6ENO7

not attested not anchored not stored refs pending

Lexicodes over Finite Principal Left Ideal Rings

Heide Gluesing-Luerssen, Jared Antrobus

arxiv:1612.04703 v1 · 2016-12-14 · cs.IT · math.IT · 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{JZB7YORN5OYSH76BPF64P6ENO7}

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	2026-05-18T00:54:52.245672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e43fc3a2debb123ffc1797dc7f88d77c372c89cab9e8828445134b1d0659326

Aliases

arxiv: 1612.04703 · arxiv_version: 1612.04703v1 · doi: 10.48550/arxiv.1612.04703 · pith_short_12: JZB7YORN5OYS · pith_short_16: JZB7YORN5OYSH76B · pith_short_8: JZB7YORN

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/JZB7YORN5OYSH76BPF64P6ENO7 \
  | 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: 4e43fc3a2debb123ffc1797dc7f88d77c372c89cab9e8828445134b1d0659326

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54026a00f1eac411dfdb1d8117ca4b2e11d11af49c48b7b1fead7d92ccf97851",
    "cross_cats_sorted": [
      "math.IT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-12-14T16:10:00Z",
    "title_canon_sha256": "2a03c9a5d92fef4c09d2740a374b0b9f63f88c54cbc63f29d06f1af37ab341ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04703",
    "kind": "arxiv",
    "version": 1
  }
}