Pith Number

pith:PMOLO2EQ

pith:2011:PMOLO2EQRLTVIKAFRA4GBNVRBY

not attested not anchored not stored refs pending

Completely bounded norms of right module maps

Richard M. Timoney, Rupert H. Levene

arxiv:1102.4255 v3 · 2011-02-21 · math.FA · 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{PMOLO2EQRLTVIKAFRA4GBNVRBY}

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	2026-05-18T01:13:38.514539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b1cb768908ae7542805883860b6b10e2f20e2604b6922c46cf0a82fd3aa42ca

Aliases

arxiv: 1102.4255 · arxiv_version: 1102.4255v3 · doi: 10.48550/arxiv.1102.4255 · pith_short_12: PMOLO2EQRLTV · pith_short_16: PMOLO2EQRLTVIKAF · pith_short_8: PMOLO2EQ

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/PMOLO2EQRLTVIKAFRA4GBNVRBY \
  | 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: 7b1cb768908ae7542805883860b6b10e2f20e2604b6922c46cf0a82fd3aa42ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63e9218c110c91fde45436bee8a5e173ba3d740a190b70418cb70ee67a0dc8f7",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-02-21T15:39:05Z",
    "title_canon_sha256": "a606147925a9d5895d1a8be72afbf42c8abefb67c017f701a7ceaca4a7dbee83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4255",
    "kind": "arxiv",
    "version": 3
  }
}