Pith Number

pith:CA6KP3U2

pith:2014:CA6KP3U2HDWA7TBGV7ZDAICY5B

not attested not anchored not stored refs pending

Classification of Electromagnetic and Gravitational Hopfions by Algebraic Type

Alexander Wickes, Amy Thompson, Dirk Bouwmeester, Joe Swearngin

arxiv:1411.2073 v2 · 2014-11-08 · gr-qc · 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{CA6KP3U2HDWA7TBGV7ZDAICY5B}

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	2026-05-18T02:04:08.403778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

103ca7ee9a38ec0fcc26aff2302058e84649114b1e55dbed7777d3efe05c59ce

Aliases

arxiv: 1411.2073 · arxiv_version: 1411.2073v2 · doi: 10.48550/arxiv.1411.2073 · pith_short_12: CA6KP3U2HDWA · pith_short_16: CA6KP3U2HDWA7TBG · pith_short_8: CA6KP3U2

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/CA6KP3U2HDWA7TBGV7ZDAICY5B \
  | 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: 103ca7ee9a38ec0fcc26aff2302058e84649114b1e55dbed7777d3efe05c59ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33d023bc3c80c76745ed0d373987ad167c05aa36aa85034f7e9860363ac2908d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-11-08T02:04:22Z",
    "title_canon_sha256": "04c5dee137e8a244d156a14a1af7eb85f5630c5974e7e614c2f48d5448704252"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2073",
    "kind": "arxiv",
    "version": 2
  }
}