Pith Number

pith:5NHNFY7S

pith:2021:5NHNFY7S7NVQDZIN3XYE2OCWFE

not attested not anchored not stored refs pending

On the Efficient Evaluation of the Azimuthal Fourier Components of the Green's Function for Helmholtz's Equation in Cylindrical Coordinates

James Garritano, Kirill Serkh, Vladimir Rokhlin, Yuval Kluger

arxiv:2104.12241 v1 · 2021-04-25 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5NHNFY7S7NVQDZIN3XYE2OCWFE}

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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	2026-07-05T05:02:53.169470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb4ed2e3f2fb6b01e50dddf04d385629201c2e9b52d406313910e204dc0351d8

Aliases

arxiv: 2104.12241 · arxiv_version: 2104.12241v1 · doi: 10.48550/arxiv.2104.12241 · pith_short_12: 5NHNFY7S7NVQ · pith_short_16: 5NHNFY7S7NVQDZIN · pith_short_8: 5NHNFY7S

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/5NHNFY7S7NVQDZIN3XYE2OCWFE \
  | 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: eb4ed2e3f2fb6b01e50dddf04d385629201c2e9b52d406313910e204dc0351d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a787272f9880c48089c4cd329c341163f15d47adeb92f034c7769bfe606ce57c",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-04-25T19:46:39Z",
    "title_canon_sha256": "a6eb23c703b3bc8cfe0de96bb6514455fb72f524de50bfedc127af3b2dc6a68e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.12241",
    "kind": "arxiv",
    "version": 1
  }
}