Pith Number

pith:VOWLVHCV

pith:2011:VOWLVHCVYNFVLB2HCFO3KRC7TL

not attested not anchored not stored refs pending

Characterisation of PF rings by the Finite Topology on duals of R-Modules

M.C.Iovanov

arxiv:1109.3003 v1 · 2011-09-14 · 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{VOWLVHCVYNFVLB2HCFO3KRC7TL}

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	2026-05-18T04:13:06.494253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abacba9c55c34b558747115db5445f9ad62559f719c49c10990a8234f3c9e62b

Aliases

arxiv: 1109.3003 · arxiv_version: 1109.3003v1 · doi: 10.48550/arxiv.1109.3003 · pith_short_12: VOWLVHCVYNFV · pith_short_16: VOWLVHCVYNFVLB2H · pith_short_8: VOWLVHCV

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/VOWLVHCVYNFVLB2HCFO3KRC7TL \
  | 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: abacba9c55c34b558747115db5445f9ad62559f719c49c10990a8234f3c9e62b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6d0e98a957404cd8893209859f3175ef96f022fbafcd833698fe4137758427e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-09-14T06:46:08Z",
    "title_canon_sha256": "5f7f32bf6c4b2e0661c70dd0bd5108b6035996c800a898ea05bc9ea570387496"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3003",
    "kind": "arxiv",
    "version": 1
  }
}