Pith Number

pith:GCK63H66

pith:2016:GCK63H66GBRPM6N4S2T7ILVWET

not attested not anchored not stored refs pending

Armendariz Modules over Skew PBW Extensions

Armando Reyes

arxiv:1612.06628 v1 · 2016-12-20 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCK63H66GBRPM6N4S2T7ILVWET}

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	2026-05-18T00:54:25.189693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3095ed9fde3062f679bc96a7f42eb624d51501ecc67a0a7428ad8231fce124be

Aliases

arxiv: 1612.06628 · arxiv_version: 1612.06628v1 · doi: 10.48550/arxiv.1612.06628 · pith_short_12: GCK63H66GBRP · pith_short_16: GCK63H66GBRPM6N4 · pith_short_8: GCK63H66

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/GCK63H66GBRPM6N4S2T7ILVWET \
  | 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: 3095ed9fde3062f679bc96a7f42eb624d51501ecc67a0a7428ad8231fce124be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e08782c1fe29640815b82224e8db67e74413df5764b43279568db641b7fcd92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-12-20T12:31:49Z",
    "title_canon_sha256": "a396d197fb35529a9165042cb9afccfa187912a584cab4dbaffd9559c972f2fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06628",
    "kind": "arxiv",
    "version": 1
  }
}