Pith Number

pith:SMFAZTUR

pith:2011:SMFAZTURINMX6VZ4YYK6UBHFVZ

not attested not anchored not stored refs pending

Monotone operators and "bigger conjugate" functions

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

arxiv:1108.2578 v1 · 2011-08-12 · 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{SMFAZTURINMX6VZ4YYK6UBHFVZ}

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	2026-05-18T04:15:36.517445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

930a0cce9143597f573cc615ea04e5ae55cf15f2eda384501dbee85e55731122

Aliases

arxiv: 1108.2578 · arxiv_version: 1108.2578v1 · doi: 10.48550/arxiv.1108.2578 · pith_short_12: SMFAZTURINMX · pith_short_16: SMFAZTURINMX6VZ4 · pith_short_8: SMFAZTUR

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/SMFAZTURINMX6VZ4YYK6UBHFVZ \
  | 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: 930a0cce9143597f573cc615ea04e5ae55cf15f2eda384501dbee85e55731122

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f48d2061cc7c7ee62b414c72f06886664fc14aab1bd7cb30b03a58b554272c45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-08-12T07:16:27Z",
    "title_canon_sha256": "be75fdf3ea06798ebaeb22a672a688f80c0ca1d05a1b91a9c4b0274bd9baeecf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2578",
    "kind": "arxiv",
    "version": 1
  }
}