Pith Number

pith:QLBXLK7X

pith:2011:QLBXLK7XQ4FGMXY3GDQW7OZYSX

not attested not anchored not stored refs pending

Discrete Fourier multipliers and cylindrical boundary value problems

Robert Denk, Tobias Nau

arxiv:1106.2010 v1 · 2011-06-10 · math.AP · 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{QLBXLK7XQ4FGMXY3GDQW7OZYSX}

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	2026-05-18T00:32:24.228058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82c375abf7870a665f1b30e16fbb3895cd016e68eb0b592ef7aa43b22dbb411d

Aliases

arxiv: 1106.2010 · arxiv_version: 1106.2010v1 · doi: 10.48550/arxiv.1106.2010 · pith_short_12: QLBXLK7XQ4FG · pith_short_16: QLBXLK7XQ4FGMXY3 · pith_short_8: QLBXLK7X

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/QLBXLK7XQ4FGMXY3GDQW7OZYSX \
  | 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: 82c375abf7870a665f1b30e16fbb3895cd016e68eb0b592ef7aa43b22dbb411d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6050eb7e78374697c91ad99ce3fcb70ac5ca5f72afc7948d8f28f8afe8281468",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-10T10:36:34Z",
    "title_canon_sha256": "09195df9504a77b1c638d516bbfca12a8423a94e59f8a417229d4ea31fbc676e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2010",
    "kind": "arxiv",
    "version": 1
  }
}