Pith Number

pith:R22B3HMF

pith:2018:R22B3HMFYVXZ7SU5HDSDFATLZ4

not attested not anchored not stored refs pending

Flat ring epimorphisms and universal localisations of commutative rings

Frederik Marks, Jan Stovicek, Jorge Vit\'oria, Lidia Angeleri H\"ugel, Ryo Takahashi

arxiv:1807.01982 v2 · 2018-07-05 · math.RT · math.AC · 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{R22B3HMFYVXZ7SU5HDSDFATLZ4}

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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

Open embeddings and pseudoflat epimorphisms

Receipt and verification

First computed	2026-07-05T03:12:43.682930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eb41d9d85c56f9fca9d38e432826bcf00954e78a84da8f4687d33b036ddac2d

Aliases

arxiv: 1807.01982 · arxiv_version: 1807.01982v2 · doi: 10.48550/arxiv.1807.01982 · pith_short_12: R22B3HMFYVXZ · pith_short_16: R22B3HMFYVXZ7SU5 · pith_short_8: R22B3HMF

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/R22B3HMFYVXZ7SU5HDSDFATLZ4 \
  | 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: 8eb41d9d85c56f9fca9d38e432826bcf00954e78a84da8f4687d33b036ddac2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80b7aa103b736bfcfd9f62173199824890f34ffbb0d2f59766e0173caf52b9b4",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-07-05T13:16:51Z",
    "title_canon_sha256": "0b52e9ae304b3020461a9b4b9d4054ffa96d907f8fdddb5fcafb3fb09328b901"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01982",
    "kind": "arxiv",
    "version": 2
  }
}