Pith Number

pith:DW5YEXFE

pith:2006:DW5YEXFE4YOEMYN7SOEIZ6UGY2

not attested not anchored not stored refs pending

Equilibrium statistical mechanics for single waves and wave spectra in Langmuir wave-particle interaction

F. Leyvraz, G. Attuel, M.-C. Firpo

arxiv:physics/0611082 v1 · 2006-11-08 · physics.plasm-ph · physics.gen-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{DW5YEXFE4YOEMYN7SOEIZ6UGY2}

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	2026-05-18T01:38:05.092519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dbb825ca4e61c4661bf93888cfa86c6bf4e755de9eadb29dbf492187f3740bb

Aliases

arxiv: physics/0611082 · arxiv_version: physics/0611082v1 · doi: 10.48550/arxiv.physics/0611082 · pith_short_12: DW5YEXFE4YOE · pith_short_16: DW5YEXFE4YOEMYN7 · pith_short_8: DW5YEXFE

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/DW5YEXFE4YOEMYN7SOEIZ6UGY2 \
  | 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: 1dbb825ca4e61c4661bf93888cfa86c6bf4e755de9eadb29dbf492187f3740bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56bef8a72ca4cc7b7ad4d775dfbaf1de923e347a410a39473ee9528589d35b29",
    "cross_cats_sorted": [
      "physics.gen-ph"
    ],
    "license": "",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2006-11-08T13:56:31Z",
    "title_canon_sha256": "fcbf4b4d1f7da6da391becf2d853951243cb4978f81e18d53d5bee4947737ad7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0611082",
    "kind": "arxiv",
    "version": 1
  }
}