Pith Number

pith:CPP5UNLM

pith:2011:CPP5UNLM2FELJLM2ULPWCHIZYD

not attested not anchored not stored refs pending

Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type

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

arxiv:1104.0750 v1 · 2011-04-05 · 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{CPP5UNLM2FELJLM2ULPWCHIZYD}

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	2026-05-18T04:25:02.620284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13dfda356cd148b4ad9aa2df611d19c0e2b24e17bd8c5dad09c9028b2b97c958

Aliases

arxiv: 1104.0750 · arxiv_version: 1104.0750v1 · doi: 10.48550/arxiv.1104.0750 · pith_short_12: CPP5UNLM2FEL · pith_short_16: CPP5UNLM2FELJLM2 · pith_short_8: CPP5UNLM

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/CPP5UNLM2FELJLM2ULPWCHIZYD \
  | 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: 13dfda356cd148b4ad9aa2df611d19c0e2b24e17bd8c5dad09c9028b2b97c958

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5bbb614920cd6e3beb9f19292a7b3b1de6eb188358129d2f472d423badac65b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-04-05T07:34:33Z",
    "title_canon_sha256": "d226680ed25f26908f56b6be6a8a51b9a5a2754609e087de6e3f5d42492f6fa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0750",
    "kind": "arxiv",
    "version": 1
  }
}