Pith. sign in
Pith Number

pith:VR6HFOUK

pith:2003:VR6HFOUKE2TFYTUJOUHOP6WTQZ
not attested not anchored not stored refs pending

Dielectric Functions and Dispersion Relations of Ultra-Relativistic Plasmas with Collisions

D. Pickering, M.E. Carrington, M.H. Thoma, T. Fugleberg

arxiv:hep-ph/0312103 v2 · 2003-12-08 · hep-ph · astro-ph · nucl-th · physics.plasm-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VR6HFOUKE2TFYTUJOUHOP6WTQZ}

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

Receipt and verification
First computed 2026-07-04T16:40:59.865511Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ac7c72ba8a26a65c4e89750ee7fad38645a876bf12f003be13d7d0c6a5d5fb46

Aliases

arxiv: hep-ph/0312103 · arxiv_version: hep-ph/0312103v2 · doi: 10.48550/arxiv.hep-ph/0312103 · pith_short_12: VR6HFOUKE2TF · pith_short_16: VR6HFOUKE2TFYTUJ · pith_short_8: VR6HFOUK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VR6HFOUKE2TFYTUJOUHOP6WTQZ \
  | 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: ac7c72ba8a26a65c4e89750ee7fad38645a876bf12f003be13d7d0c6a5d5fb46
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c98a50a4433c65b1a0b0c6a2242b62bbd6044b46cc8003009a25c3920ea1de1b",
    "cross_cats_sorted": [
      "astro-ph",
      "nucl-th",
      "physics.plasm-ph"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-12-08T10:05:49Z",
    "title_canon_sha256": "1edd2065d45cddc7b161a9536ec88cfa382105339d933dacd2c17d3aa526be50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0312103",
    "kind": "arxiv",
    "version": 2
  }
}