Pith Number

pith:OG7F3BSX

pith:2019:OG7F3BSX2VX5M7P7FF3HV5SMNE

not attested not anchored not stored refs pending

On associative operations on commutative integral domains

Erkko Lehtonen, Florian Starke

arxiv:1908.02009 v1 · 2019-08-06 · 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{OG7F3BSX2VX5M7P7FF3HV5SMNE}

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	2026-07-05T01:42:12.512971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71be5d8657d56fd67dff29767af64c692bbed645148d4083dbd20b01a97c479d

Aliases

arxiv: 1908.02009 · arxiv_version: 1908.02009v1 · doi: 10.48550/arxiv.1908.02009 · pith_short_12: OG7F3BSX2VX5 · pith_short_16: OG7F3BSX2VX5M7P7 · pith_short_8: OG7F3BSX

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/OG7F3BSX2VX5M7P7FF3HV5SMNE \
  | 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: 71be5d8657d56fd67dff29767af64c692bbed645148d4083dbd20b01a97c479d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7582128f1d0f0028a56baef34c159ffdd779203a5f8b7f7d7ef3756db7cb44b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-08-06T08:27:10Z",
    "title_canon_sha256": "74dd1f674a55001049e7fb471f7a6434560b00351874d08454575f2c6f6cc02d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02009",
    "kind": "arxiv",
    "version": 1
  }
}