Pith Number

pith:JNSSOV4Y

pith:2018:JNSSOV4YWQXZ75CZPCMXSTMDW4

not attested not anchored not stored refs pending

Simple description of generalized electromagnetic and gravitational hopfions

Jacek Jezierski, Tomasz Smo{\l}ka

arxiv:1802.01467 v1 · 2018-02-05 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JNSSOV4YWQXZ75CZPCMXSTMDW4}

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

Exact vacuum solution with Hopf structure in general relativity

Receipt and verification

First computed	2026-05-18T00:02:18.229639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b65275798b42f9ff4597899794d83b70ff8c9ad0301ac8e6b8e4a904339b0e2

Aliases

arxiv: 1802.01467 · arxiv_version: 1802.01467v1 · doi: 10.48550/arxiv.1802.01467 · pith_short_12: JNSSOV4YWQXZ · pith_short_16: JNSSOV4YWQXZ75CZ · pith_short_8: JNSSOV4Y

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/JNSSOV4YWQXZ75CZPCMXSTMDW4 \
  | 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: 4b65275798b42f9ff4597899794d83b70ff8c9ad0301ac8e6b8e4a904339b0e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12a826761d214217d564e54a35ffca9b514e80e8ad749f5c891581243289e079",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-02-05T15:38:27Z",
    "title_canon_sha256": "3948c7b0b55646344c45ba0ac63c2236aa06422f30456ba7994c640de509e85c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01467",
    "kind": "arxiv",
    "version": 1
  }
}