Pith Number

pith:XYB4G4NP

pith:2016:XYB4G4NP4J2WMMJBHNMJLDL3LL

not attested not anchored not stored refs pending

Envelope equation for the linear and nonlinear propagation of an electron plasma wave, including the effects of Landau damping, trapping, plasma inhomogeneity, and the change in the state of wave

Didier B\'enisti

arxiv:1607.05844 v2 · 2016-07-20 · physics.plasm-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XYB4G4NP4J2WMMJBHNMJLDL3LL}

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	2026-05-18T01:00:34.123878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be03c371afe2756631213b58958d7b5af2d2dcfc4f3b879b742b3d6ff2a6b4bc

Aliases

arxiv: 1607.05844 · arxiv_version: 1607.05844v2 · doi: 10.48550/arxiv.1607.05844 · pith_short_12: XYB4G4NP4J2W · pith_short_16: XYB4G4NP4J2WMMJB · pith_short_8: XYB4G4NP

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/XYB4G4NP4J2WMMJBHNMJLDL3LL \
  | 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: be03c371afe2756631213b58958d7b5af2d2dcfc4f3b879b742b3d6ff2a6b4bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "686c78f83ed0c0997c730eb25dc5329faca98ef9078dc196517b5acbda1dfee4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2016-07-20T07:40:50Z",
    "title_canon_sha256": "e36b20ebc47573a6dcd1b18e8b4f84fa42fb2ff85ca10eee57c0046ebb203018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05844",
    "kind": "arxiv",
    "version": 2
  }
}