pith. sign in
Pith Number

pith:ZZAJ4UX2

pith:2014:ZZAJ4UX2AHEEU7PAO4KTD4DG32
not attested not anchored not stored refs pending

Light propagation beyond the mean-field theory of standard optics

Janne Ruostekoski, Juha Javanainen

arxiv:1409.4598 v4 · 2014-09-16 · physics.atom-ph · cond-mat.quant-gas · physics.comp-ph · physics.optics · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZZAJ4UX2AHEEU7PAO4KTD4DG32}

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 2026-05-18T01:22:57.948511Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ce409e52fa01c84a7de0771531f066deb6089f8f0c9b23c230b9a52ed0f9c640

Aliases

arxiv: 1409.4598 · arxiv_version: 1409.4598v4 · doi: 10.48550/arxiv.1409.4598 · pith_short_12: ZZAJ4UX2AHEE · pith_short_16: ZZAJ4UX2AHEEU7PA · pith_short_8: ZZAJ4UX2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZZAJ4UX2AHEEU7PAO4KTD4DG32 \
  | 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: ce409e52fa01c84a7de0771531f066deb6089f8f0c9b23c230b9a52ed0f9c640
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "39dd57a3b8771a4026e134f873e2cc288200a52b6835a01559385fe6fb64a1d0",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "physics.comp-ph",
      "physics.optics",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2014-09-16T11:53:14Z",
    "title_canon_sha256": "1f8d18e89b848ca46decf28d9d7332b7649e8db338f4fc2d7f6e931ecc0877d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4598",
    "kind": "arxiv",
    "version": 4
  }
}