Pith Number

pith:VPB545D7

pith:2016:VPB545D7WHQMSWUSZPPNKGHPZX

not attested not anchored not stored refs pending

Exact solutions to the (1+1)-dimensional nonlinear Maxwell equations in the orthogonal curvilinear coordinates

Dazhi Zhao, Liang Hu, Maokang Luo, Xiao Zhang

arxiv:1612.01493 v4 · 2016-11-23 · physics.class-ph · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPB545D7WHQMSWUSZPPNKGHPZX}

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	2026-05-18T00:45:30.209328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abc3de747fb1e0c95a92cbded518efcdc780c72410ba29a466f67463eade9fc7

Aliases

arxiv: 1612.01493 · arxiv_version: 1612.01493v4 · doi: 10.48550/arxiv.1612.01493 · pith_short_12: VPB545D7WHQM · pith_short_16: VPB545D7WHQMSWUS · pith_short_8: VPB545D7

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/VPB545D7WHQMSWUSZPPNKGHPZX \
  | 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: abc3de747fb1e0c95a92cbded518efcdc780c72410ba29a466f67463eade9fc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da516806a45873d4d5b8a60b19861833e8c13ae5c6c688afa8e238ea6c59a803",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2016-11-23T12:51:29Z",
    "title_canon_sha256": "cdfcd05dc9a23aba401e4a167277c308d850c0e897cffaf1211474a9947c5994"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01493",
    "kind": "arxiv",
    "version": 4
  }
}