Pith Number

pith:DYA52ZSK

pith:2018:DYA52ZSKVYUIEJNIDR646FAXUY

not attested not anchored not stored refs pending

Fourier Transform on the Homogeneous Space of 3D Positions and Orientations for Exact Solutions to Linear Parabolic and (Hypo-)Elliptic PDEs

Alexey Mashtakov, Erik J. Bekkers, Remco Duits

arxiv:1811.00363 v2 · 2018-11-01 · math.AP · math.FA · math.PR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DYA52ZSKVYUIEJNIDR646FAXUY}

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	2026-05-17T23:55:11.194824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e01dd664aae288225a81c7dcf1417a61a9aa4fbf427314fe389684d7d00cbf0

Aliases

arxiv: 1811.00363 · arxiv_version: 1811.00363v2 · doi: 10.48550/arxiv.1811.00363 · pith_short_12: DYA52ZSKVYUI · pith_short_16: DYA52ZSKVYUIEJNI · pith_short_8: DYA52ZSK

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/DYA52ZSKVYUIEJNIDR646FAXUY \
  | 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: 1e01dd664aae288225a81c7dcf1417a61a9aa4fbf427314fe389684d7d00cbf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a147dbf12b5e9e8e7a695e65cd431ea0ab8ff611ce9fb5908edbea30371d87e1",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-01T13:23:03Z",
    "title_canon_sha256": "824524047278664bbe3152d0955af06d9f11f7e4d36d8fda998730c1ada61cf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00363",
    "kind": "arxiv",
    "version": 2
  }
}