Pith Number

pith:BN2N3ZUX

pith:2005:BN2N3ZUXBXI4DHNIGQKKF5ELF4

not attested not anchored not stored refs pending

The Spherical Tensor Gradient Operator

Ernst Joachim Weniger

arxiv:math-ph/0505018 v1 · 2005-05-06 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BN2N3ZUXBXI4DHNIGQKKF5ELF4}

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.

Cited by

1 paper in Pith

Coordinate Space Modification of Fock's Theory-Harmonic Tensors in the Quantum Coulomb Problem

Receipt and verification

First computed	2026-07-04T14:34:05.994298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b74dde6970dd1c19da83414a2f48b2f0b527721476eab2ed019eab489824b74

Aliases

arxiv: math-ph/0505018 · arxiv_version: math-ph/0505018v1 · doi: 10.48550/arxiv.math-ph/0505018 · pith_short_12: BN2N3ZUXBXI4 · pith_short_16: BN2N3ZUXBXI4DHNI · pith_short_8: BN2N3ZUX

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/BN2N3ZUXBXI4DHNIGQKKF5ELF4 \
  | 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: 0b74dde6970dd1c19da83414a2f48b2f0b527721476eab2ed019eab489824b74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08bbcc2d954b40f4e50351097aa94f23f6ce1be0609a8b38f50cbe00c193e6d1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-05-06T08:06:15Z",
    "title_canon_sha256": "a82016a5f51aeff3193d47411f390231015c460e5af26397f46753fe2d522ec8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0505018",
    "kind": "arxiv",
    "version": 1
  }
}