Pith Number

pith:6K2KO357

pith:2019:6K2KO357PYOJWR5XOWCRLZS5CF

not attested not anchored not stored refs pending

Dynamic and weighted stabilizations of the $L$-scheme applied to a phase-field model for fracture propagation

Christian Engwer, Iuliu Sorin Pop, Thomas Wick

arxiv:1912.07096 v1 · 2019-12-15 · math.NA · cs.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6K2KO357PYOJWR5XOWCRLZS5CF}

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	2026-07-05T00:26:18.499527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2b4a76fbf7e1c9b47b7758515e65d114d3bcac9323d9f5bbfbf368282448d10

Aliases

arxiv: 1912.07096 · arxiv_version: 1912.07096v1 · doi: 10.48550/arxiv.1912.07096 · pith_short_12: 6K2KO357PYOJ · pith_short_16: 6K2KO357PYOJWR5X · pith_short_8: 6K2KO357

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6K2KO357PYOJWR5XOWCRLZS5CF \
  | 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: f2b4a76fbf7e1c9b47b7758515e65d114d3bcac9323d9f5bbfbf368282448d10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16f7b0335ad09df3b558676488fb5de51aec3bcd51609e3da1c0104b49973a35",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-12-15T19:36:00Z",
    "title_canon_sha256": "cd3122cb712fe24a0dd3bae7fd5faf7c7991764893a499fba0d31383d02912c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.07096",
    "kind": "arxiv",
    "version": 1
  }
}