Pith. sign in
Pith Number

pith:TPELMMZW

pith:2025:TPELMMZWX3ZOUAH7LJCBMNL7OK
not attested not anchored not stored refs pending

Why planar cracks fragment into echelon cracks

Aditya Kumar, Olivia Ward

arxiv:2512.16053 v3 · 2025-12-18 · cond-mat.mtrl-sci · cond-mat.soft

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TPELMMZWX3ZOUAH7LJCBMNL7OK}

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.

Cited by

2 papers in Pith

Receipt and verification
First computed 2026-07-14T01:20:49.850496Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9bc8b63336bef2ea00ff5a4416357f72b62d1e646a6ddc09b1ea3fedda48673f

Aliases

arxiv: 2512.16053 · arxiv_version: 2512.16053v3 · doi: 10.48550/arxiv.2512.16053 · pith_short_12: TPELMMZWX3ZO · pith_short_16: TPELMMZWX3ZOUAH7 · pith_short_8: TPELMMZW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TPELMMZWX3ZOUAH7LJCBMNL7OK \
  | 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: 9bc8b63336bef2ea00ff5a4416357f72b62d1e646a6ddc09b1ea3fedda48673f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "054c0f8bd3b2107f0a93008ee94dce1d37cbd73aedcdd4291ebb2eb633175bf6",
    "cross_cats_sorted": [
      "cond-mat.soft"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2025-12-18T00:24:07Z",
    "title_canon_sha256": "dca75b7be3771fd0a1d3c217df5da50f7fcbbeb54dd6c9c60c7c7050dadf83a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.16053",
    "kind": "arxiv",
    "version": 3
  }
}