pith. sign in
Pith Number

pith:5UOVKCUM

pith:2016:5UOVKCUMYB3KIDXVWJK3W7YILU
not attested not anchored not stored refs pending

Variational principles for dissipative (sub)systems, with applications to the theory of linear dispersion and geometrical optics

A. I. Zhmoginov, D. E. Ruiz, I. Y. Dodin

arxiv:1610.05668 v2 · 2016-10-18 · physics.plasm-ph · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5UOVKCUMYB3KIDXVWJK3W7YILU}

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 2026-05-18T00:47:09.691080Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ed1d550a8cc076a40ef5b255bb7f085d17fd24baa69a7ee37127294f621eda24

Aliases

arxiv: 1610.05668 · arxiv_version: 1610.05668v2 · doi: 10.48550/arxiv.1610.05668 · pith_short_12: 5UOVKCUMYB3K · pith_short_16: 5UOVKCUMYB3KIDXV · pith_short_8: 5UOVKCUM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5UOVKCUMYB3KIDXVWJK3W7YILU \
  | 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: ed1d550a8cc076a40ef5b255bb7f085d17fd24baa69a7ee37127294f621eda24
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "46e149fc38df0707affb67ac672e6f20ce7227a770c0d4f591350411b0e12767",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2016-10-18T15:14:10Z",
    "title_canon_sha256": "b2ddde2ec43dad2cf6645fd04cb7ba459842a006f7f263ca70152e85f0afcdad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05668",
    "kind": "arxiv",
    "version": 2
  }
}