pith. sign in
Pith Number

pith:XYMHDLCB

pith:2015:XYMHDLCBSL5RBPS4LMAL7VRB2N
not attested not anchored not stored refs pending

Subcritical versus supercritical transition to turbulence in curved pipes

B. Hof, H. Kuhlmann, J. K\"uhnen, M. Schwegel, P. Braunshier

arxiv:1508.06559 v1 · 2015-08-26 · physics.flu-dyn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XYMHDLCBSL5RBPS4LMAL7VRB2N}

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 2026-05-18T01:34:42.661894Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

be1871ac4192fb10be5c5b00bfd621d365c03d0b1938a95d35eabe90e0cd66ca

Aliases

arxiv: 1508.06559 · arxiv_version: 1508.06559v1 · doi: 10.48550/arxiv.1508.06559 · pith_short_12: XYMHDLCBSL5R · pith_short_16: XYMHDLCBSL5RBPS4 · pith_short_8: XYMHDLCB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XYMHDLCBSL5RBPS4LMAL7VRB2N \
  | 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: be1871ac4192fb10be5c5b00bfd621d365c03d0b1938a95d35eabe90e0cd66ca
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "379a4f018f30e54a6b2d4977a3ca75cf3d9530b566e851d135ab6914be0c55ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2015-08-26T16:28:45Z",
    "title_canon_sha256": "66a3684e9a3ddf42e57b1f7ed87770f43ba6fb00f61f96172b637b099b5e0c8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06559",
    "kind": "arxiv",
    "version": 1
  }
}