Pith Number

pith:IEFIL45Q

pith:2015:IEFIL45QCTMBVRVYVM3Z56FSFQ

not attested not anchored not stored refs pending

Narrow Orthogonally Additive Operators on Lattice-Normed Spaces

Marat Pliev, Xiao Chun Fang

arxiv:1509.09189 v1 · 2015-09-30 · 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{IEFIL45QCTMBVRVYVM3Z56FSFQ}

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	2026-05-18T01:31:26.871681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

410a85f3b014d81ac6b8ab379ef8b22c1732b078f1bdbccbe98bb93416bbfc2c

Aliases

arxiv: 1509.09189 · arxiv_version: 1509.09189v1 · doi: 10.48550/arxiv.1509.09189 · pith_short_12: IEFIL45QCTMB · pith_short_16: IEFIL45QCTMBVRVY · pith_short_8: IEFIL45Q

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/IEFIL45QCTMBVRVYVM3Z56FSFQ \
  | 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: 410a85f3b014d81ac6b8ab379ef8b22c1732b078f1bdbccbe98bb93416bbfc2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feb74c2f6a71ca6fa0b465f1fed989804ae909ef6c8553a30ac4cbcdd87616c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-09-30T14:28:39Z",
    "title_canon_sha256": "2a8eabe4071d3e0ca15b0c0a397bfee5296f9113d07e5c040452c5dff9f1071b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09189",
    "kind": "arxiv",
    "version": 1
  }
}