pith. sign in
Pith Number

pith:MQH3HTJE

pith:2017:MQH3HTJE5GOHOJPM5OF2M5KQUS
not attested not anchored not stored refs pending

Effective Multipoles in Random media

Arianna Giunti, Felix Otto, Peter Bella

arxiv:1708.07672 v1 · 2017-08-25 · math.AP · cond-mat.mtrl-sci · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MQH3HTJE5GOHOJPM5OF2M5KQUS}

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 2026-05-18T00:36:42.394880Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

640fb3cd24e99c7725eceb8ba67550a482f0051fe925637e3aca7bfe4f784a58

Aliases

arxiv: 1708.07672 · arxiv_version: 1708.07672v1 · doi: 10.48550/arxiv.1708.07672 · pith_short_12: MQH3HTJE5GOH · pith_short_16: MQH3HTJE5GOHOJPM · pith_short_8: MQH3HTJE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MQH3HTJE5GOHOJPM5OF2M5KQUS \
  | 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: 640fb3cd24e99c7725eceb8ba67550a482f0051fe925637e3aca7bfe4f784a58
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1c90b38cd4199705c2fbba76815ea5e3e9b677a6a293ab132aaf8041808f17e2",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-25T10:04:18Z",
    "title_canon_sha256": "d58fe64e7c93517a2696ff6dfdb2602e9ebbb60fab51b19908f27af124ebc8d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07672",
    "kind": "arxiv",
    "version": 1
  }
}