Pith Number

pith:YN4XRNRV

pith:2013:YN4XRNRVC2BBPDG3KXYHROXPM4

not attested not anchored not stored refs pending

Wiener-Hopf operators in higher dimensions: the Widom conjecture for piece-wise smooth domains

A. V. Sobolev

arxiv:1312.1835 v2 · 2013-12-06 · math.SP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YN4XRNRVC2BBPDG3KXYHROXPM4}

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	2026-05-18T02:39:25.614831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c37978b6351682178cdb55f078baef671397f0ca71049fc4c808c3f5d4e7a0fb

Aliases

arxiv: 1312.1835 · arxiv_version: 1312.1835v2 · doi: 10.48550/arxiv.1312.1835 · pith_short_12: YN4XRNRVC2BB · pith_short_16: YN4XRNRVC2BBPDG3 · pith_short_8: YN4XRNRV

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/YN4XRNRVC2BBPDG3KXYHROXPM4 \
  | 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: c37978b6351682178cdb55f078baef671397f0ca71049fc4c808c3f5d4e7a0fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2db49ae572dd3a65ad5f287636bd5eb27ed2b93e3715404a0d2bbd851994e893",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-12-06T11:57:23Z",
    "title_canon_sha256": "5974680b9461788a57727f5e0fd5b8955c06703c54e078518be0b2fd66927c6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1835",
    "kind": "arxiv",
    "version": 2
  }
}