pith. sign in
Pith Number

pith:CBNNYJTS

pith:2021:CBNNYJTSBDUHIXB4F5VEM5P6MO
not attested not anchored not stored refs pending

A scalable preconditioning framework for stabilized contact mechanics with hydraulically active fractures

Andrea Franceschini, Laura Gazzola, Massimiliano Ferronato

arxiv:2112.12397 v1 · 2021-12-23 · math.NA · cs.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CBNNYJTSBDUHIXB4F5VEM5P6MO}

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 2026-06-01T01:02:10.948794Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

105adc267208e8745c3c2f6a4675fe639c8d3b8838395e28cb99f485559b29ee

Aliases

arxiv: 2112.12397 · arxiv_version: 2112.12397v1 · doi: 10.48550/arxiv.2112.12397 · pith_short_12: CBNNYJTSBDUH · pith_short_16: CBNNYJTSBDUHIXB4 · pith_short_8: CBNNYJTS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CBNNYJTSBDUHIXB4F5VEM5P6MO \
  | 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: 105adc267208e8745c3c2f6a4675fe639c8d3b8838395e28cb99f485559b29ee
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "053d4824fd0f264dfd9d06fb65a5bf5b283405873daadd92d42030eef963a074",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-12-23T07:47:55Z",
    "title_canon_sha256": "a9672c750c7c722f516fd83befd9e6b4de4db99aca6f36ac1df8a962fc206189"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.12397",
    "kind": "arxiv",
    "version": 1
  }
}