pith. sign in
Pith Number

pith:CK4LXKSP

pith:2016:CK4LXKSPJWEZK4WGKC5SHPP6VQ
not attested not anchored not stored refs pending

Bounds for convection between rough boundaries

Charles R. Doering, David Goluskin

arxiv:1604.08515 v2 · 2016-04-28 · physics.flu-dyn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CK4LXKSPJWEZK4WGKC5SHPP6VQ}

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 2026-05-18T01:01:51.805441Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

12b8bbaa4f4d899572c650bb23bdfeac0311efa7a93c52b98a48d828df926036

Aliases

arxiv: 1604.08515 · arxiv_version: 1604.08515v2 · doi: 10.48550/arxiv.1604.08515 · pith_short_12: CK4LXKSPJWEZ · pith_short_16: CK4LXKSPJWEZK4WG · pith_short_8: CK4LXKSP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CK4LXKSPJWEZK4WGKC5SHPP6VQ \
  | 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: 12b8bbaa4f4d899572c650bb23bdfeac0311efa7a93c52b98a48d828df926036
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "05f1fc5fb77073b87462eb6a3467b282410cb5ec280a128a08ec1f2ba5d1fdb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2016-04-28T16:56:09Z",
    "title_canon_sha256": "0c5fdfb619576c39fd41831c9f6425b2a1e0a3d133e11eb5fcf30ed7db8eb802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08515",
    "kind": "arxiv",
    "version": 2
  }
}