Pith Number

pith:FQQXWUZK

pith:2017:FQQXWUZKHLJSRCJK64AFBINP5L

not attested not anchored not stored refs pending

Some methods for constructing new operator monotone functions from old ones

Lawrence G. Brown

arxiv:1706.02343 v2 · 2017-06-07 · 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{FQQXWUZKHLJSRCJK64AFBINP5L}

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	2026-05-18T00:27:28.096887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c217b532a3ad328892af70050a1afeaf6701cc8c7d8f2ca2d5b66564ed8e324

Aliases

arxiv: 1706.02343 · arxiv_version: 1706.02343v2 · doi: 10.48550/arxiv.1706.02343 · pith_short_12: FQQXWUZKHLJS · pith_short_16: FQQXWUZKHLJSRCJK · pith_short_8: FQQXWUZK

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/FQQXWUZKHLJSRCJK64AFBINP5L \
  | 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: 2c217b532a3ad328892af70050a1afeaf6701cc8c7d8f2ca2d5b66564ed8e324

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8bb040d7b04cbb7732e649a9fe4cfff901a4cb564cd2b317c87accf54d230bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-06-07T19:03:37Z",
    "title_canon_sha256": "3844c566c9c318a07cacd819ffc8f7e4dcc8ad6528e4e7c3fa9a2ee776e30555"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02343",
    "kind": "arxiv",
    "version": 2
  }
}