Pith Number

pith:OUAIHNNT

pith:2019:OUAIHNNT7UJOGJWT3ALZJW5T3J

not attested not anchored not stored refs pending

Semimodules over commutative semirings and modules over unitary commutative rings

Helmut L\"anger, Ivan Chajda

arxiv:1907.06047 v1 · 2019-07-13 · 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{OUAIHNNT7UJOGJWT3ALZJW5T3J}

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	2026-05-17T23:40:42.590893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

750083b5b3fd12e326d3d81794dbb3da565d03dea2cbb59b982b8c65e4f85343

Aliases

arxiv: 1907.06047 · arxiv_version: 1907.06047v1 · doi: 10.48550/arxiv.1907.06047 · pith_short_12: OUAIHNNT7UJO · pith_short_16: OUAIHNNT7UJOGJWT · pith_short_8: OUAIHNNT

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/OUAIHNNT7UJOGJWT3ALZJW5T3J \
  | 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: 750083b5b3fd12e326d3d81794dbb3da565d03dea2cbb59b982b8c65e4f85343

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09dc0cafc8680e24658cf5b3de84a1f28b2d93251de98a6037e9bcd866c178a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-07-13T11:14:24Z",
    "title_canon_sha256": "d8f692642448987d86d715eec86d85d9155b55a6626fae451cf8fb4fd74f1cf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06047",
    "kind": "arxiv",
    "version": 1
  }
}