Pith Number

pith:5WFWW7UB

pith:2016:5WFWW7UBUKD7XWPWSFDOGFDCOA

not attested not anchored not stored refs pending

Quantitative analysis of boundary layers in periodic homogenization

Christophe Prange, Jean-Christophe Mourrat, Scott Armstrong, Tuomo Kuusi

arxiv:1607.06716 v2 · 2016-07-22 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5WFWW7UBUKD7XWPWSFDOGFDCOA}

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	2026-05-18T00:39:02.489375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed8b6b7e81a287fbd9f69146e314627024a09d3a4c5a4e56394bd38c9a668280

Aliases

arxiv: 1607.06716 · arxiv_version: 1607.06716v2 · doi: 10.48550/arxiv.1607.06716 · pith_short_12: 5WFWW7UBUKD7 · pith_short_16: 5WFWW7UBUKD7XWPW · pith_short_8: 5WFWW7UB

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/5WFWW7UBUKD7XWPWSFDOGFDCOA \
  | 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: ed8b6b7e81a287fbd9f69146e314627024a09d3a4c5a4e56394bd38c9a668280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "687fc620ca92efa6d381e1789b37ace9525aa921cdd7268709741741c6bfb9cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-22T15:52:49Z",
    "title_canon_sha256": "baf3f6e12b8994df4f3a6f6c08fc9cade0695224f43b056d1dc546c41f7116ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06716",
    "kind": "arxiv",
    "version": 2
  }
}