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Pith Number

pith:V62UZ5FV

pith:2017:V62UZ5FVLRPBW4VYQG4WIAPILE
not attested not anchored not stored refs pending

Laplace's equation for a point source near a sphere: improved internal solution using spheroidal harmonics

Baptiste Augui\'e, Eric C. Le Ru, Matt R. A. Maji\'c

arxiv:1711.09551 v2 · 2017-11-27 · math-ph · math.MP · physics.class-ph · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{V62UZ5FVLRPBW4VYQG4WIAPILE}

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 2026-05-17T23:40:56.223150Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

afb54cf4b55c5e1b72b881b96401e859322f924d3526d7a0bd09b29379a25f64

Aliases

arxiv: 1711.09551 · arxiv_version: 1711.09551v2 · doi: 10.48550/arxiv.1711.09551 · pith_short_12: V62UZ5FVLRPB · pith_short_16: V62UZ5FVLRPBW4VY · pith_short_8: V62UZ5FV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/V62UZ5FVLRPBW4VYQG4WIAPILE \
  | 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: afb54cf4b55c5e1b72b881b96401e859322f924d3526d7a0bd09b29379a25f64
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "999847d62a4278ed0a47597a177b0bca81453c72b808988cce54185476594592",
    "cross_cats_sorted": [
      "math.MP",
      "physics.class-ph",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-11-27T06:26:06Z",
    "title_canon_sha256": "882bc171ee6c1273ffa72c86eb8782e73bc31db4ccd682e4a71d0857310158ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09551",
    "kind": "arxiv",
    "version": 2
  }
}