Pith Number

pith:WNI3ECHJ

pith:2016:WNI3ECHJGRS5FZP3LUC54IFX2H

not attested not anchored not stored refs pending

Estimates of operator convex and operator monotone functions on bounded intervals

H. Najafi, M. Fujii, M.S. Moslehian, R. Nakamoto

arxiv:1610.04165 v1 · 2016-10-13 · 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{WNI3ECHJGRS5FZP3LUC54IFX2H}

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	2026-05-18T00:34:31.501219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b351b208e93465d2e5fb5d05de20b7d1c3bb64e3f2e880d46453b6dc9008d712

Aliases

arxiv: 1610.04165 · arxiv_version: 1610.04165v1 · doi: 10.48550/arxiv.1610.04165 · pith_short_12: WNI3ECHJGRS5 · pith_short_16: WNI3ECHJGRS5FZP3 · pith_short_8: WNI3ECHJ

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/WNI3ECHJGRS5FZP3LUC54IFX2H \
  | 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: b351b208e93465d2e5fb5d05de20b7d1c3bb64e3f2e880d46453b6dc9008d712

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "242fdb5abf701a918a9b30cd285eb6aaacc291fdaedc59e7a105e937f46e51e7",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-10-13T16:39:34Z",
    "title_canon_sha256": "6a49ccd270a123cc5e99054a0984431232879bb8b9b4fa7a1d39247d61beb8ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04165",
    "kind": "arxiv",
    "version": 1
  }
}