Pith Number

pith:72USZMKX

pith:2020:72USZMKXCQMMS6HKP423OTSNME

not attested not anchored not stored refs pending

Setting the Free Material Design problem through the methods of optimal mass distribution

00-637 Warsaw, 02-097 Warsaw), 16 Armii Ludowej Street, 2), (2) College of Inter-Faculty Individual Studies in Mathematics, 2C Stefana Banacha St., Computer Aided Engineering, Faculty of Civil Engineering, Karol Bo{\l}botowski (1, Natural Sciences, Tomasz Lewi\'nski (1) ((1) Department of Structural Mechanics, University of Warsaw, Warsaw University of Technology

arxiv:2004.11084 v2 · 2020-04-23 · 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{72USZMKXCQMMS6HKP423OTSNME}

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	2026-07-05T01:03:24.926499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fea92cb1571418c978ea7f35b74e4d612862d297332020abb9fc987875218d92

Aliases

arxiv: 2004.11084 · arxiv_version: 2004.11084v2 · doi: 10.48550/arxiv.2004.11084 · pith_short_12: 72USZMKXCQMM · pith_short_16: 72USZMKXCQMMS6HK · pith_short_8: 72USZMKX

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/72USZMKXCQMMS6HKP423OTSNME \
  | 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: fea92cb1571418c978ea7f35b74e4d612862d297332020abb9fc987875218d92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4975bff254bae086af38389d6afd98b650d4b563db6fc779dbabadbfffc3add",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-04-23T11:25:42Z",
    "title_canon_sha256": "cdea0196542d0d83a395b5390d62de09c6cf1a48f437b2c3d9a0219a48386843"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.11084",
    "kind": "arxiv",
    "version": 2
  }
}