Pith Number

pith:VOOFGROK

pith:2011:VOOFGROKENZVSDZ7MPEQVNV224

not attested not anchored not stored refs pending

Construction of pathological maximally monotone operators on non-reflexive Banach spaces

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

arxiv:1108.1463 v1 · 2011-08-06 · 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{VOOFGROKENZVSDZ7MPEQVNV224}

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	2026-05-18T04:16:00.972494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab9c5345ca2373590f3f63c90ab6bad73b49aa0a6aa1cc00efa86380d7341d08

Aliases

arxiv: 1108.1463 · arxiv_version: 1108.1463v1 · doi: 10.48550/arxiv.1108.1463 · pith_short_12: VOOFGROKENZV · pith_short_16: VOOFGROKENZVSDZ7 · pith_short_8: VOOFGROK

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/VOOFGROKENZVSDZ7MPEQVNV224 \
  | 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: ab9c5345ca2373590f3f63c90ab6bad73b49aa0a6aa1cc00efa86380d7341d08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3950a4f303adb0e99bc62a6cee2e9031208843e86559ce96a5f0ea9ef8eca7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-08-06T08:21:28Z",
    "title_canon_sha256": "2c8a0fde1bb1c2e9d40667f868d24aa6137cbad7e87f4289f0d59b9b0412597d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1463",
    "kind": "arxiv",
    "version": 1
  }
}