Pith Number

pith:WDKPN4AX

pith:2018:WDKPN4AXKJCWOYFMYTDXUK77GJ

not attested not anchored not stored refs pending

Intertwining wave operators, Fourier restriction, and Wiener theorems

W. Schlag

arxiv:1802.01982 v1 · 2018-02-06 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WDKPN4AXKJCWOYFMYTDXUK77GJ}

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	2026-05-18T00:24:20.777844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0d4f6f01752456760acc4c77a2bff32616b2b00ce88b4a09bd1dff212a9d0b4

Aliases

arxiv: 1802.01982 · arxiv_version: 1802.01982v1 · doi: 10.48550/arxiv.1802.01982 · pith_short_12: WDKPN4AXKJCW · pith_short_16: WDKPN4AXKJCWOYFM · pith_short_8: WDKPN4AX

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/WDKPN4AXKJCWOYFMYTDXUK77GJ \
  | 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: b0d4f6f01752456760acc4c77a2bff32616b2b00ce88b4a09bd1dff212a9d0b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03ca4cc141ae04a5f724cc284524add4970e7a726793e37e76d714567465eb44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-02-06T14:57:56Z",
    "title_canon_sha256": "e19f22809533f2ede92246e102d525ce08b6fd7f16685b0183cea4242296c9ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01982",
    "kind": "arxiv",
    "version": 1
  }
}