Pith Number

pith:KKPFACED

pith:2010:KKPFACEDANPRLNA2UL7KYS6CG5

not attested not anchored not stored refs pending

Stochastic shear thickening fluids: Strong convergence of the Galerkin approximation and the energy equality

Nobuo Yoshida

arxiv:1009.2136 v2 · 2010-09-11 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KKPFACEDANPRLNA2UL7KYS6CG5}

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	2026-05-18T03:43:53.059088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

529e500883035f15b41aa2feac4bc2375e42deb6bede253a06c98a34a0589be4

Aliases

arxiv: 1009.2136 · arxiv_version: 1009.2136v2 · doi: 10.48550/arxiv.1009.2136 · pith_short_12: KKPFACEDANPR · pith_short_16: KKPFACEDANPRLNA2 · pith_short_8: KKPFACED

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KKPFACEDANPRLNA2UL7KYS6CG5 \
  | 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: 529e500883035f15b41aa2feac4bc2375e42deb6bede253a06c98a34a0589be4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77f798a942619a6be668c8b6c7da6365ae4297917d8a2698e606fc174c8176ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-11T05:26:40Z",
    "title_canon_sha256": "3eb2cbd2afbc3a9ee7a3fb3a2e4dee65d77deabcf5cfbba9a052bf2d059fda59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2136",
    "kind": "arxiv",
    "version": 2
  }
}