Pith Number

pith:CSTOV5GM

pith:2011:CSTOV5GM6I5MBLWYDYNU2RWXM5

not attested not anchored not stored refs pending

Maximally Monotone Linear Subspace Extensions of Monotone Subspaces: Explicit Constructions and Characterizations

Liangjin Yao, Xianfu Wang

arxiv:1103.1409 v1 · 2011-03-08 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CSTOV5GM6I5MBLWYDYNU2RWXM5}

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	2026-05-18T04:27:15.894967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14a6eaf4ccf23ac0aed81e1b4d46d7675c7395e6411e776051c79f259aa66243

Aliases

arxiv: 1103.1409 · arxiv_version: 1103.1409v1 · doi: 10.48550/arxiv.1103.1409 · pith_short_12: CSTOV5GM6I5M · pith_short_16: CSTOV5GM6I5MBLWY · pith_short_8: CSTOV5GM

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/CSTOV5GM6I5MBLWYDYNU2RWXM5 \
  | 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: 14a6eaf4ccf23ac0aed81e1b4d46d7675c7395e6411e776051c79f259aa66243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07a5f77ce20c83b18eee7f189f59fa38f8c58821ece0928c7c5a8cd02797a3b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-03-08T01:05:30Z",
    "title_canon_sha256": "04c7a25fd972df308ec4d4887744522ee451ecf815813d181c477c1116f864aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1409",
    "kind": "arxiv",
    "version": 1
  }
}