Pith Number

pith:6UYZZO7I

pith:2019:6UYZZO7IFWJ25CA7ZQGPBLVELF

not attested not anchored not stored refs pending

K-inner functions and K-contractions

J\"org Eschmeier, Sebastian Toth

arxiv:1912.09186 v1 · 2019-12-19 · 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{6UYZZO7IFWJ25CA7ZQGPBLVELF}

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.

Cited by

1 paper in Pith

Operator inequalities I. Models and ergodicity

Receipt and verification

First computed	2026-07-05T00:27:24.430929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5319cbbe82d93ae881fcc0cf0aea4597a3b58bd543e9368860589327362bbb2

Aliases

arxiv: 1912.09186 · arxiv_version: 1912.09186v1 · doi: 10.48550/arxiv.1912.09186 · pith_short_12: 6UYZZO7IFWJ2 · pith_short_16: 6UYZZO7IFWJ25CA7 · pith_short_8: 6UYZZO7I

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/6UYZZO7IFWJ25CA7ZQGPBLVELF \
  | 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: f5319cbbe82d93ae881fcc0cf0aea4597a3b58bd543e9368860589327362bbb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b14009526dbde7591dd28dd2435db969438341c8610b590daa9b6f33dd03d3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-12-19T13:34:31Z",
    "title_canon_sha256": "77470d6563eee211d6e18a5496e4120262fdea460acfd831096ee2d71006d2ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.09186",
    "kind": "arxiv",
    "version": 1
  }
}