Pith Number

pith:D7UJNUJ7

pith:2001:D7UJNUJ74R3I5QES72HXQVBEKQ

not attested not anchored not stored refs pending

Null electromagnetic fields and relative CR embeddings

George Sparling, Jonathan Earl Holland

arxiv:math-ph/0110041 v4 · 2001-10-31 · 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{D7UJNUJ74R3I5QES72HXQVBEKQ}

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	2026-05-18T04:02:54.724507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fe896d13fe4768ec092fe8f7854245410a676e896d6b922be8bc8c23fc9537e

Aliases

arxiv: math-ph/0110041 · arxiv_version: math-ph/0110041v4 · doi: 10.48550/arxiv.math-ph/0110041 · pith_short_12: D7UJNUJ74R3I · pith_short_16: D7UJNUJ74R3I5QES · pith_short_8: D7UJNUJ7

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/D7UJNUJ74R3I5QES72HXQVBEKQ \
  | 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: 1fe896d13fe4768ec092fe8f7854245410a676e896d6b922be8bc8c23fc9537e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d400ad05a0583b0c9956a39d3761f05784ec21080418e5dcc1393c267296710",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2001-10-31T19:21:03Z",
    "title_canon_sha256": "1280f38ecd9265b91f8f3387d1bc079b62fbef4d19348381dee7c13ab093f860"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0110041",
    "kind": "arxiv",
    "version": 4
  }
}