Pith Number

pith:UDYHZGDK

pith:2016:UDYHZGDKN3IQGYUSESSTPR7VAW

not attested not anchored not stored refs pending

Quasi-classical asymptotics for functions of Wiener-Hopf operators: smooth vs non-smooth symbols

Alexander V. Sobolev

arxiv:1609.02068 v2 · 2016-09-07 · 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{UDYHZGDKN3IQGYUSESSTPR7VAW}

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	2026-05-18T00:52:08.201302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0f07c986a6ed103629224a537c7f505a4c27f403489277dc645686010523358

Aliases

arxiv: 1609.02068 · arxiv_version: 1609.02068v2 · doi: 10.48550/arxiv.1609.02068 · pith_short_12: UDYHZGDKN3IQ · pith_short_16: UDYHZGDKN3IQGYUS · pith_short_8: UDYHZGDK

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/UDYHZGDKN3IQGYUSESSTPR7VAW \
  | 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: a0f07c986a6ed103629224a537c7f505a4c27f403489277dc645686010523358

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd10585e30020ef4e813e141d9c763e44254adfd1ca8daef8215b7e282adc967",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-09-07T16:58:14Z",
    "title_canon_sha256": "88976224247914cc5829d19d1edf4b32e1c46ce7abc9ca5302e792d9b07774ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02068",
    "kind": "arxiv",
    "version": 2
  }
}