Pith Number

pith:EQETYXSE

pith:2016:EQETYXSEHEPLO4RFTGCBMWP2LQ

not attested not anchored not stored refs pending

Non-semigroup gradings of associative algebras

Pasha Zusmanovich

arxiv:1609.03924 v2 · 2016-09-13 · 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{EQETYXSEHEPLO4RFTGCBMWP2LQ}

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	2026-05-18T00:17:13.609909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24093c5e44391eb7722599841659fa5c1fd0268d5ad1e40bbff4056839675fb4

Aliases

arxiv: 1609.03924 · arxiv_version: 1609.03924v2 · doi: 10.48550/arxiv.1609.03924 · pith_short_12: EQETYXSEHEPL · pith_short_16: EQETYXSEHEPLO4RF · pith_short_8: EQETYXSE

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/EQETYXSEHEPLO4RFTGCBMWP2LQ \
  | 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: 24093c5e44391eb7722599841659fa5c1fd0268d5ad1e40bbff4056839675fb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52119cb7eda8dc28533bfa756283f46e3fa9fd0c4f46b93609a86bfa9095d74c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-09-13T16:36:43Z",
    "title_canon_sha256": "a5c18016b74cfc8afc6c6ed5d726a4c7fdb9e723a1f18f4475eea31fe7074128"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03924",
    "kind": "arxiv",
    "version": 2
  }
}