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Pith Number

pith:5TRRVIA7

pith:2016:5TRRVIA7JOFD2D7OYVT7E7JTLZ
not attested not anchored not stored refs pending

Kinetic theory of discontinuous shear thickening

Hisao Hayakawa, Satoshi Takada

arxiv:1610.06443 v2 · 2016-10-20 · cond-mat.soft

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5TRRVIA7JOFD2D7OYVT7E7JTLZ}

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 2026-05-18T00:41:12.821464Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ece31aa01f4b8a3d0feec567f27d335e74b64c25ac6a95137e31c77c62d62e7c

Aliases

arxiv: 1610.06443 · arxiv_version: 1610.06443v2 · doi: 10.48550/arxiv.1610.06443 · pith_short_12: 5TRRVIA7JOFD · pith_short_16: 5TRRVIA7JOFD2D7O · pith_short_8: 5TRRVIA7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5TRRVIA7JOFD2D7OYVT7E7JTLZ \
  | 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: ece31aa01f4b8a3d0feec567f27d335e74b64c25ac6a95137e31c77c62d62e7c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "010f605265340d91ac246e4958eb1c782d254d5e0d762693f065280cec6bfe65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2016-10-20T14:43:15Z",
    "title_canon_sha256": "141224ece16122d8e11c100514ca91051179047039a9419ade3978ef1b1f7ee9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06443",
    "kind": "arxiv",
    "version": 2
  }
}