pith. sign in
Pith Number

pith:PVIP4NTO

pith:2016:PVIP4NTOPHBIFUFJPIYL2TIHLC
not attested not anchored not stored refs pending

Persistent Directional Current at Equilibrium in Nonreciprocal Many-Body Near Field Electromagnetic Heat Transfer

Linxiao Zhu, Shanhui Fan

arxiv:1602.08454 v2 · 2016-02-26 · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PVIP4NTOPHBIFUFJPIYL2TIHLC}

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 2026-05-18T01:03:45.134817Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7d50fe366e79c282d0a97a30bd4d075882436b33fbe6a5ed8f89fcf504ce7ba3

Aliases

arxiv: 1602.08454 · arxiv_version: 1602.08454v2 · doi: 10.48550/arxiv.1602.08454 · pith_short_12: PVIP4NTOPHBI · pith_short_16: PVIP4NTOPHBIFUFJ · pith_short_8: PVIP4NTO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PVIP4NTOPHBIFUFJPIYL2TIHLC \
  | 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: 7d50fe366e79c282d0a97a30bd4d075882436b33fbe6a5ed8f89fcf504ce7ba3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d20ce9164a19281b687baf016cb7b56ced9d4a74168f57f3b14807e4fa67c2de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-02-26T19:53:00Z",
    "title_canon_sha256": "cef67be92bc9437207621a5b84e427f797e6aee27ebe8ead5b3940255ff2bcbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08454",
    "kind": "arxiv",
    "version": 2
  }
}