Pith Number

pith:CMWKA73K

pith:2018:CMWKA73KT7AFIZEF4EN4T3AJJI

not attested not anchored not stored refs pending

The UMD property for Musielak--Orlicz spaces

Ivan Yaroslavtsev, Mark Veraar, Nick Lindemulder

arxiv:1810.13362 v2 · 2018-10-31 · math.FA · math.PR

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

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	2026-05-18T00:01:14.486995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

132ca07f6a9fc0546485e11bc9ec094a3117a926b6ba6f98c3adeaf82c08f895

Aliases

arxiv: 1810.13362 · arxiv_version: 1810.13362v2 · doi: 10.48550/arxiv.1810.13362 · pith_short_12: CMWKA73KT7AF · pith_short_16: CMWKA73KT7AFIZEF · pith_short_8: CMWKA73K

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/CMWKA73KT7AFIZEF4EN4T3AJJI \
  | 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: 132ca07f6a9fc0546485e11bc9ec094a3117a926b6ba6f98c3adeaf82c08f895

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fbca67286517e4285b9a52f6bef853eb3418a0bc0528fa9e1ccd5707597b4d5",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-10-31T16:00:27Z",
    "title_canon_sha256": "368282efd171edcab53c04e19225457fd433bce85e0a6e5a49f225cfc4bac3ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.13362",
    "kind": "arxiv",
    "version": 2
  }
}