Pith Number

pith:DLUHYJLP

pith:2011:DLUHYJLPQY2WTT33DKVAP3FTG4

not attested not anchored not stored refs pending

Double piling structure of matrix monotone functions and of matrix convex functions II

Hiroyuki Osaka, Jun Tomiyama

arxiv:1104.3372 v1 · 2011-04-18 · 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{DLUHYJLPQY2WTT33DKVAP3FTG4}

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	2026-05-18T04:24:05.229463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ae87c256f863569cf7b1aaa07ecb33726b9b1d4c0155dcbabbbae1ae6127adc

Aliases

arxiv: 1104.3372 · arxiv_version: 1104.3372v1 · doi: 10.48550/arxiv.1104.3372 · pith_short_12: DLUHYJLPQY2W · pith_short_16: DLUHYJLPQY2WTT33 · pith_short_8: DLUHYJLP

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/DLUHYJLPQY2WTT33DKVAP3FTG4 \
  | 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: 1ae87c256f863569cf7b1aaa07ecb33726b9b1d4c0155dcbabbbae1ae6127adc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cad1fa04fbb9c1d619aca6614ff4f8b08f3aeafca09611faa06da2c1da4396e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-04-18T02:59:09Z",
    "title_canon_sha256": "5db0a1823eeb042faaa5161bf01205e461e54d646fbf19e9657c5276b749e9f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3372",
    "kind": "arxiv",
    "version": 1
  }
}