Pith Number

pith:XBVLOCNE

pith:2016:XBVLOCNEY5VCRGGELVOZOUF7LA

not attested not anchored not stored refs pending

The Bartle-Dunford-Schwartz and the Dinculeanu-Singer theorems revisited

C\'andido Pi\~neiro, Eve Oja, Fernando Mu\~noz

arxiv:1612.07312 v1 · 2016-12-21 · 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{XBVLOCNEY5VCRGGELVOZOUF7LA}

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	2026-05-18T00:54:14.271660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b86ab709a4c76a2898c45d5d9750bf58011804339ccacace68fdf0d6f0cacaa9

Aliases

arxiv: 1612.07312 · arxiv_version: 1612.07312v1 · doi: 10.48550/arxiv.1612.07312 · pith_short_12: XBVLOCNEY5VC · pith_short_16: XBVLOCNEY5VCRGGE · pith_short_8: XBVLOCNE

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/XBVLOCNEY5VCRGGELVOZOUF7LA \
  | 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: b86ab709a4c76a2898c45d5d9750bf58011804339ccacace68fdf0d6f0cacaa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc1ae8fe0a35a66ff515933535c3e863f82d26028e7a5cb27911cd51d6474efd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-21T20:46:41Z",
    "title_canon_sha256": "f298bbef0f281dcebc7ce0ad8e947c109bb5b3ce9db55b178c2b986c19f7a146"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07312",
    "kind": "arxiv",
    "version": 1
  }
}