Pith Number

pith:FLLYEEJK

pith:2015:FLLYEEJKQRAE7LIRSRCRLTNGIO

not attested not anchored not stored refs pending

Characterizations of Operator Monotonicity via Operator Means and Applications to Operator Inequalities

Pattrawut Chansangiam

arxiv:1506.06922 v1 · 2015-06-23 · 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{FLLYEEJKQRAE7LIRSRCRLTNGIO}

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	2026-05-18T01:40:55.570847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ad782112a84404fad11944515cda6438e9189030f79c5e3c15a3c15cafabed9

Aliases

arxiv: 1506.06922 · arxiv_version: 1506.06922v1 · doi: 10.48550/arxiv.1506.06922 · pith_short_12: FLLYEEJKQRAE · pith_short_16: FLLYEEJKQRAE7LIR · pith_short_8: FLLYEEJK

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/FLLYEEJKQRAE7LIRSRCRLTNGIO \
  | 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: 2ad782112a84404fad11944515cda6438e9189030f79c5e3c15a3c15cafabed9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07b9197b902ce41485cced136ab207e48157a795c0eccb6846c154e96e5085b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-06-23T09:30:23Z",
    "title_canon_sha256": "04053c988c6e34cd3b5056268a5b71d86b027bcb51b9fa86faaf1414aa9cb05c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06922",
    "kind": "arxiv",
    "version": 1
  }
}