Pith Number

pith:4YLP47QE

pith:2010:4YLP47QEQW3B2SMCGHXN5PR676

not attested not anchored not stored refs pending

Representation formulas for $L^\infty$ norms of weakly convergent sequences of gradient fields in homogenization

Robert Lipton, Tadele Mengesha

arxiv:1009.4429 v2 · 2010-09-22 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YLP47QEQW3B2SMCGHXN5PR676}

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	2026-05-18T04:40:21.411818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e616fe7e0485b61d498231eedebe3eff814229270912b6db74d00859e731692b

Aliases

arxiv: 1009.4429 · arxiv_version: 1009.4429v2 · doi: 10.48550/arxiv.1009.4429 · pith_short_12: 4YLP47QEQW3B · pith_short_16: 4YLP47QEQW3B2SMC · pith_short_8: 4YLP47QE

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/4YLP47QEQW3B2SMCGHXN5PR676 \
  | 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: e616fe7e0485b61d498231eedebe3eff814229270912b6db74d00859e731692b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e32d07216b38414db6f493dae8df712f65a2291725c705a728a3a661e427a86",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-22T17:16:12Z",
    "title_canon_sha256": "1358d39671dd3726bbc432c7217dd0e640c947a170100f7f2d9e0ca23e493842"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4429",
    "kind": "arxiv",
    "version": 2
  }
}