Pith Number

pith:QV47CADU

pith:2017:QV47CADUOIPWMZ4IK2QJRZXQLO

not attested not anchored not stored refs pending

Some results on strongly operator convex functions and operator monotone functions

Lawrence G. Brown, Mitsuru Uchiyama

arxiv:1712.07205 v1 · 2017-12-19 · 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{QV47CADUOIPWMZ4IK2QJRZXQLO}

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	2026-05-18T00:14:54.068221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8579f10074721f66678856a098e6f05ba0b11316d262beef5111255596197065

Aliases

arxiv: 1712.07205 · arxiv_version: 1712.07205v1 · doi: 10.48550/arxiv.1712.07205 · pith_short_12: QV47CADUOIPW · pith_short_16: QV47CADUOIPWMZ4I · pith_short_8: QV47CADU

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/QV47CADUOIPWMZ4IK2QJRZXQLO \
  | 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: 8579f10074721f66678856a098e6f05ba0b11316d262beef5111255596197065

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b772da9b84f05fcac2d91ea172d49cca18fa383824e99833d5c42fce588908eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-12-19T20:52:56Z",
    "title_canon_sha256": "3b9e4344605686016a353ce56d879c8a484d18ee7a7b59e48cce6184877c7826"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07205",
    "kind": "arxiv",
    "version": 1
  }
}