Pith Number

pith:GGC7DIN2

pith:2017:GGC7DIN2KYXCQHPTSITJDCSGXV

not attested not anchored not stored refs pending

Trace scaling automorphisms of the stabilized Razak-Jacelon algebra

Norio Nawata

arxiv:1704.02414 v3 · 2017-04-08 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGC7DIN2KYXCQHPTSITJDCSGXV}

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	2026-05-18T00:04:50.434969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3185f1a1ba562e281df39226918a46bd56f343540a606dff56ccdff4d686133c

Aliases

arxiv: 1704.02414 · arxiv_version: 1704.02414v3 · doi: 10.48550/arxiv.1704.02414 · pith_short_12: GGC7DIN2KYXC · pith_short_16: GGC7DIN2KYXCQHPT · pith_short_8: GGC7DIN2

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/GGC7DIN2KYXCQHPTSITJDCSGXV \
  | 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: 3185f1a1ba562e281df39226918a46bd56f343540a606dff56ccdff4d686133c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "122e63686acfd1586623aa10347ada8e98f2aa55cb052fa6052ce0aba328280e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-04-08T00:52:36Z",
    "title_canon_sha256": "8b2a91f828eed36685126d75c7578e404f94394bde3a8c6f660e3ff9392e1c05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02414",
    "kind": "arxiv",
    "version": 3
  }
}