Pith Number

pith:2Z4PHBQA

pith:2013:2Z4PHBQAC3CYG2MO3WXBO6E3R2

not attested not anchored not stored refs pending

An FFT-based Galerkin Method for Homogenization of Periodic Media

Ivo Marek, Jan Zeman, Jaroslav Vond\v{r}ejc

arxiv:1311.0089 v2 · 2013-11-01 · math.NA · cond-mat.mtrl-sci · math.AP · physics.comp-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{2Z4PHBQAC3CYG2MO3WXBO6E3R2}

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	2026-05-18T02:33:25.566712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d678f3860016c583698eddae17789b8e8e0d43a81fa2740daffbd46162f360d2

Aliases

arxiv: 1311.0089 · arxiv_version: 1311.0089v2 · doi: 10.48550/arxiv.1311.0089 · pith_short_12: 2Z4PHBQAC3CY · pith_short_16: 2Z4PHBQAC3CYG2MO · pith_short_8: 2Z4PHBQA

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/2Z4PHBQAC3CYG2MO3WXBO6E3R2 \
  | 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: d678f3860016c583698eddae17789b8e8e0d43a81fa2740daffbd46162f360d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5b1c01210c5e56efdd147c20b8f9c9241fc3e64604f4f3f5cabefaec2bbbd63",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math.AP",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-11-01T05:19:01Z",
    "title_canon_sha256": "bba4c5adcf99806aa857e7f7a3e03004741dc4b634d1458fed542dbf3948f230"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0089",
    "kind": "arxiv",
    "version": 2
  }
}