pith. sign in
Pith Number

pith:LFA72EDN

pith:2016:LFA72EDN2IZNK2GONQS6TQUBDT
not attested not anchored not stored refs pending

Fracture initiation in multi-phase materials: a systematic three-dimensional approach using a FFT-based solver

B. Appolaire, M. Cottura, M.G.D. Geers, R.H.J. Peerlings, T.W.J. de Geus

arxiv:1604.03817 v1 · 2016-04-13 · cond-mat.mtrl-sci

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LFA72EDN2IZNK2GONQS6TQUBDT}

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 2026-05-18T01:17:10.979101Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5941fd106dd232d568ce6c25e9c2811cd461bae9cd9b9cb3735923fba9ef4ae4

Aliases

arxiv: 1604.03817 · arxiv_version: 1604.03817v1 · doi: 10.48550/arxiv.1604.03817 · pith_short_12: LFA72EDN2IZN · pith_short_16: LFA72EDN2IZNK2GO · pith_short_8: LFA72EDN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LFA72EDN2IZNK2GONQS6TQUBDT \
  | 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: 5941fd106dd232d568ce6c25e9c2811cd461bae9cd9b9cb3735923fba9ef4ae4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "54c363657a46d7e021ab41dc8fff87ac75164340e80630f0dcad0adf9a065369",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2016-04-13T14:53:10Z",
    "title_canon_sha256": "eae633a9850954b70b477f63d341bca707ccdddbd9fa9e01c8ef2647cc5a88a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03817",
    "kind": "arxiv",
    "version": 1
  }
}