Pith Number

pith:WGS6RCYA

pith:2012:WGS6RCYAJP2RJ44D6NHYNDFGSK

not attested not anchored not stored refs pending

Transforms on operator monotone functions

Masaru Nagisa, Masato Kawasaki

arxiv:1206.5452 v1 · 2012-06-24 · math.FA · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WGS6RCYAJP2RJ44D6NHYNDFGSK}

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	2026-05-18T03:52:40.072564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1a5e88b004bf514f383f34f868ca69283efc07aa450d088b1c3ff534ea2d90e

Aliases

arxiv: 1206.5452 · arxiv_version: 1206.5452v1 · doi: 10.48550/arxiv.1206.5452 · pith_short_12: WGS6RCYAJP2R · pith_short_16: WGS6RCYAJP2RJ44D · pith_short_8: WGS6RCYA

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/WGS6RCYAJP2RJ44D6NHYNDFGSK \
  | 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: b1a5e88b004bf514f383f34f868ca69283efc07aa450d088b1c3ff534ea2d90e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cf133b98d25b24ec29666f931a37c881a14544c695d3a78a0fc0bd5c568ee6b",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-06-24T00:33:59Z",
    "title_canon_sha256": "d5aeec862c2a3285856939b358dbb3c2f4e057dbb808ad54086b4f86acc564cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5452",
    "kind": "arxiv",
    "version": 1
  }
}