Pith Number

pith:Y2WJQWQW

pith:2011:Y2WJQWQWXXNUNLAAL4U4LGL7PR

not attested not anchored not stored refs pending

A proof of Einstein's effective viscosity for a dilute suspension of spheres

Anna L. Mazzucato, Brian M. Haines

arxiv:1104.1102 v1 · 2011-04-06 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y2WJQWQWXXNUNLAAL4U4LGL7PR}

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	2026-05-18T04:24:53.611820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6ac985a16bddb46ac005f29c5997f7c6b954dd5c11799921dd789f9eab76ee9

Aliases

arxiv: 1104.1102 · arxiv_version: 1104.1102v1 · doi: 10.48550/arxiv.1104.1102 · pith_short_12: Y2WJQWQWXXNU · pith_short_16: Y2WJQWQWXXNUNLAA · pith_short_8: Y2WJQWQW

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/Y2WJQWQWXXNUNLAAL4U4LGL7PR \
  | 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: c6ac985a16bddb46ac005f29c5997f7c6b954dd5c11799921dd789f9eab76ee9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56f7721c71f9cb42fd9b8fcaf6ad86d0cb2dd81ea9a7f5f8a83de9c271d4be0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-06T13:48:53Z",
    "title_canon_sha256": "258ea5d9e0cd5186705af8917979e9ac1b22215fce6c1482d5cb3bdd7bd18a89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1102",
    "kind": "arxiv",
    "version": 1
  }
}