Pith Number

pith:ZFV4EMSN

pith:2009:ZFV4EMSN3D2SO5MVBCE4L7X7QH

not attested not anchored not stored refs pending

The Biot-Savart operator and electrodynamics on subdomains of the three-sphere

Jason Parsley

arxiv:0904.3524 v2 · 2009-04-22 · math.DG · math-ph · math.GT · 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{ZFV4EMSN3D2SO5MVBCE4L7X7QH}

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	2026-05-18T03:42:21.715050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c96bc2324dd8f52775950889c5feff81f4a23cb80acfd63dbdaecc141a04e631

Aliases

arxiv: 0904.3524 · arxiv_version: 0904.3524v2 · doi: 10.48550/arxiv.0904.3524 · pith_short_12: ZFV4EMSN3D2S · pith_short_16: ZFV4EMSN3D2SO5MV · pith_short_8: ZFV4EMSN

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/ZFV4EMSN3D2SO5MVBCE4L7X7QH \
  | 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: c96bc2324dd8f52775950889c5feff81f4a23cb80acfd63dbdaecc141a04e631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cfde3dc33777181909c373c00e93e52565f460400651c92189b6f1d23ce86ff",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-04-22T18:58:48Z",
    "title_canon_sha256": "d965496ba1389aac622d8b8e8b10e7b056b98371f84047f79d9a99da3f237678"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.3524",
    "kind": "arxiv",
    "version": 2
  }
}