Pith. sign in
Pith Number

pith:MQ4XZLP5

pith:2022:MQ4XZLP5N6YJW4Z3C3IUZZXP2S
not attested not anchored not stored refs pending

From atomistic systems to linearized continuum models for elastic materials with voids

Konstantinos Zemas, Leonard Kreutz, Manuel Friedrich

arxiv:2202.05018 v2 · 2022-02-10 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MQ4XZLP5N6YJW4Z3C3IUZZXP2S}

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 2026-07-05T05:28:20.114395Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

64397cadfd6fb09b733b16d14ce6efd4971575c07ccad378e70344f399078137

Aliases

arxiv: 2202.05018 · arxiv_version: 2202.05018v2 · doi: 10.48550/arxiv.2202.05018 · pith_short_12: MQ4XZLP5N6YJ · pith_short_16: MQ4XZLP5N6YJW4Z3 · pith_short_8: MQ4XZLP5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MQ4XZLP5N6YJW4Z3C3IUZZXP2S \
  | 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: 64397cadfd6fb09b733b16d14ce6efd4971575c07ccad378e70344f399078137
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a9897c9fa8fdf72e156b64e4f0009472ccfb1f9cca92874fd931bbc4736128a2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-02-10T13:24:10Z",
    "title_canon_sha256": "9866971b5b26bde96e850c414fa95c07261f79b44897089d746db2e0c77832ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.05018",
    "kind": "arxiv",
    "version": 2
  }
}