Pith Number

pith:LI2B7JH7

pith:2013:LI2B7JH7AOVMQLG2MTE5GU4GXK

not attested not anchored not stored refs pending

Homogenization Techniques for Periodic Structures

Kirill Cherednichenko, Richard Craster, Sebastien Guenneau, Shane Cooper, Tryfon Antonakakis

arxiv:1304.7519 v1 · 2013-04-28 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LI2B7JH7AOVMQLG2MTE5GU4GXK}

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	2026-05-18T03:26:53.797607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a341fa4ff03aac82cda64c9d35386ba8518bfefaf18c72264c3a189482c43b2

Aliases

arxiv: 1304.7519 · arxiv_version: 1304.7519v1 · doi: 10.48550/arxiv.1304.7519 · pith_short_12: LI2B7JH7AOVM · pith_short_16: LI2B7JH7AOVMQLG2 · pith_short_8: LI2B7JH7

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/LI2B7JH7AOVMQLG2MTE5GU4GXK \
  | 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: 5a341fa4ff03aac82cda64c9d35386ba8518bfefaf18c72264c3a189482c43b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f900b33324c57d9dd1cb2521d78918d6af6ecf1c12cc8be27d542a7d61659a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-04-28T20:32:07Z",
    "title_canon_sha256": "6a6a3d94104a0e404594f6fb5bd15c7935a684924eb734326e65f5655c64a91c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7519",
    "kind": "arxiv",
    "version": 1
  }
}