Pith Number

pith:VCZJ7KAJ

pith:2017:VCZJ7KAJLPH63AEPZYUXL5BNOW

not attested not anchored not stored refs pending

Duality for unbounded order convergence and applications

Denny H. Leung, Foivos Xanthos, Niushan Gao

arxiv:1705.06143 v1 · 2017-05-16 · 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{VCZJ7KAJLPH63AEPZYUXL5BNOW}

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	2026-05-18T00:44:18.557611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8b29fa8095bcfed808fce2975f42d75a12a7c563c8ad1e19b1096f935e574c0

Aliases

arxiv: 1705.06143 · arxiv_version: 1705.06143v1 · doi: 10.48550/arxiv.1705.06143 · pith_short_12: VCZJ7KAJLPH6 · pith_short_16: VCZJ7KAJLPH63AEP · pith_short_8: VCZJ7KAJ

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/VCZJ7KAJLPH63AEPZYUXL5BNOW \
  | 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: a8b29fa8095bcfed808fce2975f42d75a12a7c563c8ad1e19b1096f935e574c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a25d3ddca5efce1a220ee6ead542df849c9eca249746f0917cbb68c32449de7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-05-16T03:40:13Z",
    "title_canon_sha256": "997bf25174b6d557e8e935736339e874b176533780b7f08379e7c7849fd60e4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06143",
    "kind": "arxiv",
    "version": 1
  }
}