Pith Number

pith:L67JCKL7

pith:2021:L67JCKL7IINHZWO3E7ENJTYWXB

not attested not anchored not stored refs pending

Mixed variational formulations for structural topology optimization based on the phase-field approach

Alessandro Reali, Elisabetta Rocca, Ferdinando Auricchio, Michele Marino, Ulisse Stefanelli

arxiv:2103.00939 v1 · 2021-03-01 · math.NA · cs.NA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L67JCKL7IINHZWO3E7ENJTYWXB}

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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

1 paper in Pith

Spectral Dictionary Learning for Generative Image Modeling

Receipt and verification

First computed	2026-07-05T02:19:11.141996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fbe91297f421a7cd9db27c8d4cf16b8529c87004a1ddb95ec17e3ea47677de6

Aliases

arxiv: 2103.00939 · arxiv_version: 2103.00939v1 · doi: 10.48550/arxiv.2103.00939 · pith_short_12: L67JCKL7IINH · pith_short_16: L67JCKL7IINHZWO3 · pith_short_8: L67JCKL7

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/L67JCKL7IINHZWO3E7ENJTYWXB \
  | 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: 5fbe91297f421a7cd9db27c8d4cf16b8529c87004a1ddb95ec17e3ea47677de6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4b47e67838b696f76fea903b8d3a2bb33bd13c801854a42b1d462884d832288",
    "cross_cats_sorted": [
      "cs.NA",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-03-01T12:03:48Z",
    "title_canon_sha256": "b1a28f15d4f7102dad69cdabb61ede5d682b7a5285be60198d7e652c066b813a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.00939",
    "kind": "arxiv",
    "version": 1
  }
}