Pith Number

pith:U6XJYVVT

pith:2025:U6XJYVVTXZXEDJ4B42GGKM2BJ4

not attested not anchored not stored refs pending

Full Vectorial Maxwell Equations with Continuous Angular Indices

Mustafa Bakr

arxiv:2508.02675 v1 · 2025-07-10 · math.NA · cs.NA · math-ph · math.MP · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U6XJYVVTXZXEDJ4B42GGKM2BJ4}

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	2026-07-05T11:48:28.876028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7ae9c56b3be6e41a781e68c6533414f0d72a6940f4181e6cccee73be36a7888

Aliases

arxiv: 2508.02675 · arxiv_version: 2508.02675v1 · doi: 10.48550/arxiv.2508.02675 · pith_short_12: U6XJYVVTXZXE · pith_short_16: U6XJYVVTXZXEDJ4B · pith_short_8: U6XJYVVT

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/U6XJYVVTXZXEDJ4B42GGKM2BJ4 \
  | 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: a7ae9c56b3be6e41a781e68c6533414f0d72a6940f4181e6cccee73be36a7888

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ced3808c9073c83cfff60df4727855f78a7067bb694d8e36ec7b4f326cf7ab17",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.MP",
      "physics.class-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-07-10T09:47:41Z",
    "title_canon_sha256": "9a683faa9563a75a5e220e2e954016c529f0e49235a5c6648087be8bbe497b6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.02675",
    "kind": "arxiv",
    "version": 1
  }
}