Pith Number

pith:6CFKHBE5

pith:2016:6CFKHBE5QX2WRDVWLP7ZYPDFET

not attested not anchored not stored refs pending

Left dihedral codes over Galois rings ${\rm GR}(p^2,m)$

Fang-Wei Fu, Yonglin Cao, Yuan Cao

arxiv:1609.04083 v1 · 2016-09-14 · 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{6CFKHBE5QX2WRDVWLP7ZYPDFET}

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	2026-05-18T01:04:40.709210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f08aa3849d85f5688eb65bff9c3c6524d6d13b4b5add2df40c5cc467adcee1db

Aliases

arxiv: 1609.04083 · arxiv_version: 1609.04083v1 · doi: 10.48550/arxiv.1609.04083 · pith_short_12: 6CFKHBE5QX2W · pith_short_16: 6CFKHBE5QX2WRDVW · pith_short_8: 6CFKHBE5

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/6CFKHBE5QX2WRDVWLP7ZYPDFET \
  | 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: f08aa3849d85f5688eb65bff9c3c6524d6d13b4b5add2df40c5cc467adcee1db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff37d53e710c5b985dbff09c891164f90fbadc756ae9482cea70386afa04a9c1",
    "cross_cats_sorted": [
      "math.IT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-09-14T00:54:06Z",
    "title_canon_sha256": "c6ad0ccbd28c3d25ca884f9fabace651566d74b16ef0a8ded29fa83ec1be952a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04083",
    "kind": "arxiv",
    "version": 1
  }
}