Pith. sign in
Pith Number

pith:P3FNAT5I

pith:2024:P3FNAT5IMWTN34FZZXCW4SJMBI
not attested not anchored not stored refs pending

Controlled fluid transport by the collective motion of microrotors

Jake Buzhardt, Phanindra Tallapragada

arxiv:2409.04468 v1 · 2024-09-03 · math.OC · cs.SY · eess.SY · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{P3FNAT5IMWTN34FZZXCW4SJMBI}

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 2026-07-05T09:04:12.574483Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7ecad04fa865a6ddf0b9cdc56e492c0a183a6757a994a773ad12395faf46ecd0

Aliases

arxiv: 2409.04468 · arxiv_version: 2409.04468v1 · doi: 10.48550/arxiv.2409.04468 · pith_short_12: P3FNAT5IMWTN · pith_short_16: P3FNAT5IMWTN34FZ · pith_short_8: P3FNAT5I
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/P3FNAT5IMWTN34FZZXCW4SJMBI \
  | 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: 7ecad04fa865a6ddf0b9cdc56e492c0a183a6757a994a773ad12395faf46ecd0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cd030990c0ec07fcaad0020ea6057d6bbfe834f11919d915282c1d9cae359aa4",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-09-03T17:14:31Z",
    "title_canon_sha256": "6f255ab11f3e226689a32e6b6257e0df9374a93b0da0ffdc7c4cdfafc480f9fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.04468",
    "kind": "arxiv",
    "version": 1
  }
}