Pith Number

pith:AGYVAQEC

pith:2015:AGYVAQEC43VGM3DN2O3U7ZCKNZ

not attested not anchored not stored refs pending

Singular integrals, rank one perturbations and Clark model in general situation

Constanze Liaw, Sergei Treil

arxiv:1506.00072 v1 · 2015-05-30 · math.FA · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AGYVAQEC43VGM3DN2O3U7ZCKNZ}

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	2026-05-18T00:42:07.930196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01b1504082e6ea666c6dd3b74fe44a6e514d07413b0ea449167679a2525c0978

Aliases

arxiv: 1506.00072 · arxiv_version: 1506.00072v1 · doi: 10.48550/arxiv.1506.00072 · pith_short_12: AGYVAQEC43VG · pith_short_16: AGYVAQEC43VGM3DN · pith_short_8: AGYVAQEC

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/AGYVAQEC43VGM3DN2O3U7ZCKNZ \
  | 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: 01b1504082e6ea666c6dd3b74fe44a6e514d07413b0ea449167679a2525c0978

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15455e80fbbb4d93c09c20406d224cb9dcfc1daa9383a09de9ae7755683a03a6",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-30T04:45:09Z",
    "title_canon_sha256": "d90a76f415ee67b4d574947313cf2809d05e0f72194cfed59e3be229af12ca27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00072",
    "kind": "arxiv",
    "version": 1
  }
}