pith. sign in
Pith Number

pith:YYJILWKM

pith:2016:YYJILWKMLRRE2P5CYXXXGW2MJR
not attested not anchored not stored refs pending

Vector lattices and $f$-algebras: the classical inequalities

Christopher Schwanke, Gerard Buskes

arxiv:1607.06639 v2 · 2016-07-22 · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YYJILWKMLRRE2P5CYXXXGW2MJR}

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 2026-05-18T00:23:01.743512Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c61285d94c5c624d3fa2c5ef735b4c4c4d98e72f8a17e7dad6c8be336663db80

Aliases

arxiv: 1607.06639 · arxiv_version: 1607.06639v2 · doi: 10.48550/arxiv.1607.06639 · pith_short_12: YYJILWKMLRRE · pith_short_16: YYJILWKMLRRE2P5C · pith_short_8: YYJILWKM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YYJILWKMLRRE2P5CYXXXGW2MJR \
  | 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: c61285d94c5c624d3fa2c5ef735b4c4c4d98e72f8a17e7dad6c8be336663db80
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "63fa41951235e1db68a29fa136cc7dc56d450de00d6fff9ff1e0a086b6f9fbe7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-07-22T11:48:21Z",
    "title_canon_sha256": "0c5aac17e4f5496fdb9563b841471182f563ae9da253b5c70ebe75436d35c987"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06639",
    "kind": "arxiv",
    "version": 2
  }
}