Pith Number

pith:CGEM7P6D

pith:2012:CGEM7P6DAPZQ74ENH6V4LAIBIV

not attested not anchored not stored refs pending

Regularity and stochastic homogenization of fully nonlinear equations without uniform ellipticity

Charles K. Smart, Scott N. Armstrong

arxiv:1208.4570 v4 · 2012-08-22 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGEM7P6DAPZQ74ENH6V4LAIBIV}

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	2026-05-18T02:39:16.947556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1188cfbfc303f30ff08d3fabc581014555d3ecc1d6a88789ba9987e8099564f0

Aliases

arxiv: 1208.4570 · arxiv_version: 1208.4570v4 · doi: 10.48550/arxiv.1208.4570 · pith_short_12: CGEM7P6DAPZQ · pith_short_16: CGEM7P6DAPZQ74EN · pith_short_8: CGEM7P6D

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/CGEM7P6DAPZQ74ENH6V4LAIBIV \
  | 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: 1188cfbfc303f30ff08d3fabc581014555d3ecc1d6a88789ba9987e8099564f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "638fe4d02f2bbaf1c36a07bd085dce16cb901d1d57a829291f300616ec3e9a61",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-22T18:32:30Z",
    "title_canon_sha256": "13f1e1ee25b5f22e78a2b096a986954dd5b794715d601ce9c0973bee999cfe6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4570",
    "kind": "arxiv",
    "version": 4
  }
}