Pith Number

pith:SA22RURS

pith:2011:SA22RURSKIT6UKLB7U65HYYYIF

not attested not anchored not stored refs pending

For maximally monotone linear relations, dense type, negative-infimum type, and Fitzpatrick-Phelps type all coincide with monotonicity of the adjoint

Heinz H. Bauschke, Jonathan M. Borwein, Liangjin Yao, Xianfu Wang

arxiv:1103.6239 v1 · 2011-03-31 · 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{SA22RURSKIT6UKLB7U65HYYYIF}

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	2026-05-18T04:25:13.641495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9035a8d2325227ea2961fd3dd3e318417ca03e9aeee04e9d11eba8c1450e3cd9

Aliases

arxiv: 1103.6239 · arxiv_version: 1103.6239v1 · doi: 10.48550/arxiv.1103.6239 · pith_short_12: SA22RURSKIT6 · pith_short_16: SA22RURSKIT6UKLB · pith_short_8: SA22RURS

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/SA22RURSKIT6UKLB7U65HYYYIF \
  | 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: 9035a8d2325227ea2961fd3dd3e318417ca03e9aeee04e9d11eba8c1450e3cd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f63a498ba4204454b4d110d3327d5fdba323ecd733d1b1d7252a9e1ffbe3f6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-03-31T17:11:36Z",
    "title_canon_sha256": "ad89558211faecc69f7a0cf0e54b1804bb4d5c64e0d146e64356a2483723a324"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.6239",
    "kind": "arxiv",
    "version": 1
  }
}