Pith Number

pith:KFRBSQQW

pith:2014:KFRBSQQWEUEU5WP73BN7IVH7TU

not attested not anchored not stored refs pending

Operator monotonicity of some functions

Masaru Nagisa, Shuhei Wada

arxiv:1412.8625 v1 · 2014-12-30 · 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{KFRBSQQWEUEU5WP73BN7IVH7TU}

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	2026-05-18T02:30:16.827442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

516219421625094ed9ffd85bf454ff9d1e63ebe859fbfa43457712aec065452f

Aliases

arxiv: 1412.8625 · arxiv_version: 1412.8625v1 · doi: 10.48550/arxiv.1412.8625 · pith_short_12: KFRBSQQWEUEU · pith_short_16: KFRBSQQWEUEU5WP7 · pith_short_8: KFRBSQQW

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/KFRBSQQWEUEU5WP73BN7IVH7TU \
  | 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: 516219421625094ed9ffd85bf454ff9d1e63ebe859fbfa43457712aec065452f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66ce2b329ab988489ef171cc8236dd0974ea5d4f9ea7057a15dc7ed14a0db298",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-12-30T13:30:57Z",
    "title_canon_sha256": "2b918eff4463e7bc36c9b18c60d6698835c4f4e8b216e2ea190047fa64e840ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8625",
    "kind": "arxiv",
    "version": 1
  }
}