Pith Number

pith:DNOFSZHS

pith:2011:DNOFSZHSI2I4BMRGG5LQU2DMLS

not attested not anchored not stored refs pending

The Br\'ezis-Browder Theorem in a general Banach space

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

arxiv:1110.5706 v1 · 2011-10-26 · 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{DNOFSZHSI2I4BMRGG5LQU2DMLS}

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	2026-05-18T04:10:11.564813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b5c5964f24691c0b22637570a686c5c982cbf1979fd7192977d289f9cfd5a42

Aliases

arxiv: 1110.5706 · arxiv_version: 1110.5706v1 · doi: 10.48550/arxiv.1110.5706 · pith_short_12: DNOFSZHSI2I4 · pith_short_16: DNOFSZHSI2I4BMRG · pith_short_8: DNOFSZHS

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/DNOFSZHSI2I4BMRGG5LQU2DMLS \
  | 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: 1b5c5964f24691c0b22637570a686c5c982cbf1979fd7192977d289f9cfd5a42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc307a8ba4f1caf4979cfbc94925d4577cd18ee48c2dd44437bb086af1fc0ce9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-10-26T05:50:48Z",
    "title_canon_sha256": "42f8cab2711056df73d47802a9a1866ab15d48d219ddc5436117c400f2f8e2dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5706",
    "kind": "arxiv",
    "version": 1
  }
}