Pith Number

pith:QVKNDDP5

pith:2012:QVKNDDP5BOSAX2HJ3LHN7AUH7R

not attested not anchored not stored refs pending

Atomistic subsemirings of the lattice of subspaces of an algebra

Daniel S. Sage

arxiv:1203.0765 v1 · 2012-03-04 · 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{QVKNDDP5BOSAX2HJ3LHN7AUH7R}

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	2026-05-18T00:53:41.014054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8554d18dfd0ba40be8e9dacedf8287fc48256d788de5ea717b068ae10a51973e

Aliases

arxiv: 1203.0765 · arxiv_version: 1203.0765v1 · doi: 10.48550/arxiv.1203.0765 · pith_short_12: QVKNDDP5BOSA · pith_short_16: QVKNDDP5BOSAX2HJ · pith_short_8: QVKNDDP5

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/QVKNDDP5BOSAX2HJ3LHN7AUH7R \
  | 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: 8554d18dfd0ba40be8e9dacedf8287fc48256d788de5ea717b068ae10a51973e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c644d25f09db7781f501a6bd1c9e6066bf860f147b79a0a9d2fc58903cf69378",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-03-04T19:30:20Z",
    "title_canon_sha256": "d6184a7f8102e8a9e958e932f13c1a5506b5203fafc11080fe93da82f18917d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0765",
    "kind": "arxiv",
    "version": 1
  }
}