Pith Number

pith:DAVIEDXQ

pith:2012:DAVIEDXQLIUTS4YF2K6HT3C2UN

not attested not anchored not stored refs pending

Characterization of the monotonicity by the inequality

Dinh Trung Hoa, Hiroyuki Osaka, Jun Tomiyama

arxiv:1207.5201 v1 · 2012-07-22 · 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{DAVIEDXQLIUTS4YF2K6HT3C2UN}

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	2026-05-18T03:50:24.163855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

182a820ef05a29397305d2bc79ec5aa3735ad944b1a24c9027e76b7bb9006d7f

Aliases

arxiv: 1207.5201 · arxiv_version: 1207.5201v1 · doi: 10.48550/arxiv.1207.5201 · pith_short_12: DAVIEDXQLIUT · pith_short_16: DAVIEDXQLIUTS4YF · pith_short_8: DAVIEDXQ

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/DAVIEDXQLIUTS4YF2K6HT3C2UN \
  | 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: 182a820ef05a29397305d2bc79ec5aa3735ad944b1a24c9027e76b7bb9006d7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88dffed320d88e5b63e963de70a55a42852d59fa4f0af47b05a0ff90090aa68c",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-07-22T06:32:40Z",
    "title_canon_sha256": "6fbd7eaab20e0471fa30b2ce03730f8e2a127d647eb365a09fe10aa3de630481"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5201",
    "kind": "arxiv",
    "version": 1
  }
}