Pith Number

pith:PMX4XYAW

pith:2019:PMX4XYAW7WYTGQYM74RXABPRKW

not attested not anchored not stored refs pending

Recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture

Alena Kopani\v{c}\'akov\'a, Rolf Krause

arxiv:1903.00379 v1 · 2019-03-01 · math.NA · cs.CE · 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{PMX4XYAW7WYTGQYM74RXABPRKW}

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	2026-06-04T20:13:57.466323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b2fcbe016fdb133430cff237005f155bd7d10676a9371d3083793100743911f

Aliases

arxiv: 1903.00379 · arxiv_version: 1903.00379v1 · doi: 10.48550/arxiv.1903.00379 · pith_short_12: PMX4XYAW7WYT · pith_short_16: PMX4XYAW7WYTGQYM · pith_short_8: PMX4XYAW

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/PMX4XYAW7WYTGQYM74RXABPRKW \
  | 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: 7b2fcbe016fdb133430cff237005f155bd7d10676a9371d3083793100743911f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46b18b5c7a0df50cad3556efe5f71ef4a14337aee47f82ea6705008cbb06c35f",
    "cross_cats_sorted": [
      "cs.CE",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-03-01T15:49:49Z",
    "title_canon_sha256": "cbb3c67cf141e5bb74e35fd8fdefbf11623575c6b8e3e0e411886bf9acd20290"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.00379",
    "kind": "arxiv",
    "version": 1
  }
}