Pith Number

pith:7JXHDPRS

pith:2014:7JXHDPRSY733RRNCZ4KEIVKWDM

not attested not anchored not stored refs pending

Randomized versions of Mazur lemma and Krein-Smulian theorem

Jose Miguel Zapata

arxiv:1411.6256 v8 · 2014-11-23 · math.FA · q-fin.RM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JXHDPRSY733RRNCZ4KEIVKWDM}

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	2026-05-18T00:42:13.725371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa6e71be32c7f7b8c5a2cf144455561b38172f30d8a63f0c9b2ed87d2269179d

Aliases

arxiv: 1411.6256 · arxiv_version: 1411.6256v8 · doi: 10.48550/arxiv.1411.6256 · pith_short_12: 7JXHDPRSY733 · pith_short_16: 7JXHDPRSY733RRNC · pith_short_8: 7JXHDPRS

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/7JXHDPRSY733RRNCZ4KEIVKWDM \
  | 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: fa6e71be32c7f7b8c5a2cf144455561b38172f30d8a63f0c9b2ed87d2269179d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c56970203eed3506ea8f65dc61893c9fb7dff1e4c33a6e0152b37e81f7b8d45",
    "cross_cats_sorted": [
      "q-fin.RM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-11-23T16:06:49Z",
    "title_canon_sha256": "5b5c09301b71271e9a276e63bf202c3f183bd272f04dace70f80647375a17f35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6256",
    "kind": "arxiv",
    "version": 8
  }
}