Pith Number

pith:NC6W7YDH

pith:2015:NC6W7YDHJ2IHYT6OONQFXLQ4G3

not attested not anchored not stored refs pending

Monotone substochastic operators and a new Calderon couple

Karol Lesnik

arxiv:1502.04882 v1 · 2015-02-17 · 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{NC6W7YDHJ2IHYT6OONQFXLQ4G3}

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	2026-05-18T02:26:53.636857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68bd6fe0674e907c4fce73605bae1c36c2180f9dd377f6c23a84d1eb30ee69e6

Aliases

arxiv: 1502.04882 · arxiv_version: 1502.04882v1 · doi: 10.48550/arxiv.1502.04882 · pith_short_12: NC6W7YDHJ2IH · pith_short_16: NC6W7YDHJ2IHYT6O · pith_short_8: NC6W7YDH

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/NC6W7YDHJ2IHYT6OONQFXLQ4G3 \
  | 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: 68bd6fe0674e907c4fce73605bae1c36c2180f9dd377f6c23a84d1eb30ee69e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aacf6ad52e6fec947f71e2e067cbb9d47d9eb08edd3e5b2f469768f8c417430",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-02-17T13:12:28Z",
    "title_canon_sha256": "9fdb66007a5770cc00bf1cffe3fa1d7fd5919fb5612275df034b8b610ed13fc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04882",
    "kind": "arxiv",
    "version": 1
  }
}