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Pith Number

pith:KU6IATWG

pith:2015:KU6IATWGG7GTD7IMDYDDZ52LFV
not attested not anchored not stored refs pending

Multiscale modeling of rapid granular flow with a hybrid discrete-continuum method

Jinghai Li, Junwu Wang, Xizhong Chen

arxiv:1512.07354 v1 · 2015-12-23 · physics.flu-dyn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KU6IATWGG7GTD7IMDYDDZ52LFV}

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 2026-05-18T01:23:49.860425Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

553c804ec637cd31fd0c1e063cf74b2d7fef603b09fd1d69e1af739d9a17771a

Aliases

arxiv: 1512.07354 · arxiv_version: 1512.07354v1 · doi: 10.48550/arxiv.1512.07354 · pith_short_12: KU6IATWGG7GT · pith_short_16: KU6IATWGG7GTD7IM · pith_short_8: KU6IATWG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KU6IATWGG7GTD7IMDYDDZ52LFV \
  | 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: 553c804ec637cd31fd0c1e063cf74b2d7fef603b09fd1d69e1af739d9a17771a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c78f13172438dd388126719a8d0abf51e6b618a70e64c644ab642dfb016e848e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2015-12-23T04:48:30Z",
    "title_canon_sha256": "e0a61f5813c35968ed59e16dec9a1eecd3d3cf7b7cc98d8ae7364afd290061fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07354",
    "kind": "arxiv",
    "version": 1
  }
}