Pith Number

pith:PVJN6JN7

pith:2017:PVJN6JN7LDUMETUZNMV6IDS5NT

not attested not anchored not stored refs pending

Maximum vanishing subspace problem, CAT(0)-space relaxation, and block-triangularization of partitioned matrix

Hiroshi Hirai, Masaki Hamada

arxiv:1705.02060 v2 · 2017-05-05 · math.OC · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PVJN6JN7LDUMETUZNMV6IDS5NT}

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	2026-05-18T00:35:41.348954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d52df25bf58e8c24e996b2be40e5d6ccc713d0e3afbabd2abafb06f412ff323

Aliases

arxiv: 1705.02060 · arxiv_version: 1705.02060v2 · doi: 10.48550/arxiv.1705.02060 · pith_short_12: PVJN6JN7LDUM · pith_short_16: PVJN6JN7LDUMETUZ · pith_short_8: PVJN6JN7

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/PVJN6JN7LDUMETUZNMV6IDS5NT \
  | 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: 7d52df25bf58e8c24e996b2be40e5d6ccc713d0e3afbabd2abafb06f412ff323

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "839f9d01d5a0fa510bda115741d19bdbfe0dc690c2f7a18aab6c939ed1adb5f7",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-05-05T01:50:54Z",
    "title_canon_sha256": "b4d86adfe6b28257f3039a1341591315b8896ab1d75e999828cd77b440e0dc83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02060",
    "kind": "arxiv",
    "version": 2
  }
}