Pith Number

pith:6VGRMZ4F

pith:2013:6VGRMZ4FRBSWHR4NFVRRCGNNXV

not attested not anchored not stored refs pending

The moduli space of 4-dimensional nilpotent complex associative algebras

Alice Fialowski, Michael Penkava

arxiv:1309.5770 v1 · 2013-09-23 · 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{6VGRMZ4FRBSWHR4NFVRRCGNNXV}

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.

Cited by

1 paper in Pith

Some Inequalities for Continuous Algebra-Multiplications on a Banach Space

Receipt and verification

First computed	2026-05-18T03:12:34.232303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f54d166785886563c78d2d631119adbd71bab2b5ffbc027fd7d17b007c839649

Aliases

arxiv: 1309.5770 · arxiv_version: 1309.5770v1 · doi: 10.48550/arxiv.1309.5770 · pith_short_12: 6VGRMZ4FRBSW · pith_short_16: 6VGRMZ4FRBSWHR4N · pith_short_8: 6VGRMZ4F

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/6VGRMZ4FRBSWHR4NFVRRCGNNXV \
  | 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: f54d166785886563c78d2d631119adbd71bab2b5ffbc027fd7d17b007c839649

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f6f1139de0a75cd55957072c339994f4b1a91bf363cc18cc163ec4284a694f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-09-23T11:22:30Z",
    "title_canon_sha256": "ffdbce969335ff8739841318c4b464b7a76164513eac7ce204b385a467fd1a1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5770",
    "kind": "arxiv",
    "version": 1
  }
}