Pith Number

pith:Q2PWY4GL

pith:2012:Q2PWY4GLO5FYTYIVA5MJJQQW7E

not attested not anchored not stored refs pending

Extendable endomorphisms on factors

Masaki Izumi, Panchugopal Bikram, R. Srinivasan, V. S. Sunder

arxiv:1211.2576 v3 · 2012-11-12 · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q2PWY4GLO5FYTYIVA5MJJQQW7E}

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	2026-05-18T03:10:45.983339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

869f6c70cb774b89e115075894c216f91e757d505b2f262c21b77aa5db26c663

Aliases

arxiv: 1211.2576 · arxiv_version: 1211.2576v3 · doi: 10.48550/arxiv.1211.2576 · pith_short_12: Q2PWY4GLO5FY · pith_short_16: Q2PWY4GLO5FYTYIV · pith_short_8: Q2PWY4GL

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/Q2PWY4GLO5FYTYIVA5MJJQQW7E \
  | 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: 869f6c70cb774b89e115075894c216f91e757d505b2f262c21b77aa5db26c663

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ae92b032bdba15265fd73dcd20a1b529dd4b35f3de9d30ada6f25ba1c816a83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-11-12T11:25:47Z",
    "title_canon_sha256": "ca0ea0fe6f168766aa849cac2e2b55ebbab47a638c49c7f410c021e3c85b1ee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2576",
    "kind": "arxiv",
    "version": 3
  }
}