pith. sign in
Pith Number

pith:FPXDYWM6

pith:2011:FPXDYWM6SGE2SC2VFBWG463ZC7
not attested not anchored not stored refs pending

Shallow granular flows down flat frictional channels: steady flows and longitudinal vortices

Nicolas Brodu, Patrick Richard, Renaud Delannay

arxiv:1112.5351 v4 · 2011-12-22 · cond-mat.soft · physics.flu-dyn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FPXDYWM6SGE2SC2VFBWG463ZC7}

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 2026-05-18T03:41:12.612520Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2bee3c599e9189a90b55286c6e7b7917c84308fa4e30c1a5e825f8d5c7a99dbc

Aliases

arxiv: 1112.5351 · arxiv_version: 1112.5351v4 · doi: 10.48550/arxiv.1112.5351 · pith_short_12: FPXDYWM6SGE2 · pith_short_16: FPXDYWM6SGE2SC2V · pith_short_8: FPXDYWM6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FPXDYWM6SGE2SC2VFBWG463ZC7 \
  | 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: 2bee3c599e9189a90b55286c6e7b7917c84308fa4e30c1a5e825f8d5c7a99dbc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e08d11d8e7fba0e94a28fcaa5b4feaceed8963dbb8d50e6f183161d2749a3e3f",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2011-12-22T15:24:54Z",
    "title_canon_sha256": "4dc2f50824ad15a7edf220f5a6c3d75ccd9aa75dcc0b0c71b4bee82e52429cf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5351",
    "kind": "arxiv",
    "version": 4
  }
}