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Pith Number

pith:D63EGPMT

pith:2016:D63EGPMTZR7OJABCK7J2V3HFYK
not attested not anchored not stored refs pending

Kinetic theory of discontinuous shear thickening for a dilute gas-solid suspension

Hisao Hayakawa, Satoshi Takada

arxiv:1611.07295 v6 · 2016-11-22 · cond-mat.stat-mech · cond-mat.soft

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{D63EGPMTZR7OJABCK7J2V3HFYK}

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 2026-05-17T23:44:10.508069Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1fb6433d93cc7ee4802257d3aaece5c2b6f24a7099339dab25ea4252bc378a03

Aliases

arxiv: 1611.07295 · arxiv_version: 1611.07295v6 · doi: 10.48550/arxiv.1611.07295 · pith_short_12: D63EGPMTZR7O · pith_short_16: D63EGPMTZR7OJABC · pith_short_8: D63EGPMT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/D63EGPMTZR7OJABCK7J2V3HFYK \
  | 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: 1fb6433d93cc7ee4802257d3aaece5c2b6f24a7099339dab25ea4252bc378a03
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f2e07ee99f66a4ee6a139e8d2bd72fe624e7d887d758917e9bead083f6354397",
    "cross_cats_sorted": [
      "cond-mat.soft"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-11-22T13:33:35Z",
    "title_canon_sha256": "8c862454bdd9ce8606e26e2a6729e08a6401ec5ff292fc119b0f4b9df6a36ecd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07295",
    "kind": "arxiv",
    "version": 6
  }
}