Pith Number

pith:4NJ33QMY

pith:2013:4NJ33QMYNNTM5JQF3QGRN3SAK6

not attested not anchored not stored refs pending

Certification of projection-based reduced order modelling in computational homogenisation by the Constitutive Relation Error

Juan Jos\'e R\'odenas Garc\'ia (DIMM), Pierre Kerfriden, St\'ephane Pierre-Alain Bordas

arxiv:1301.6330 v3 · 2013-01-27 · math.NA · cs.NA · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NJ33QMYNNTM5JQF3QGRN3SAK6}

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	2026-05-18T02:51:15.183731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e353bdc1986b66cea605dc0d16ee405789cd5c6a7ade12e9a1592d2238f70936

Aliases

arxiv: 1301.6330 · arxiv_version: 1301.6330v3 · doi: 10.48550/arxiv.1301.6330 · pith_short_12: 4NJ33QMYNNTM · pith_short_16: 4NJ33QMYNNTM5JQF · pith_short_8: 4NJ33QMY

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/4NJ33QMYNNTM5JQF3QGRN3SAK6 \
  | 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: e353bdc1986b66cea605dc0d16ee405789cd5c6a7ade12e9a1592d2238f70936

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bc00ffd0c6d26f5feb986a3651c7fed3e8517e993d03443561621260f0d5e0d",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-01-27T07:29:19Z",
    "title_canon_sha256": "7c61602835d7db029ecffc8b94ba0e1f9600c0b7b8f1feb0c667e898fcc8812a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6330",
    "kind": "arxiv",
    "version": 3
  }
}