Pith Number

pith:XITDY6QW

pith:2011:XITDY6QWTPLXO3JUUSDEG232EY

not attested not anchored not stored refs pending

Convergence Rates in L^2 for Elliptic Homogenization Problems

Carlos E. Kenig, Fanghua Lin, Zhongwei Shen

arxiv:1103.0023 v1 · 2011-02-28 · math.AP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XITDY6QWTPLXO3JUUSDEG232EY}

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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	2026-05-18T02:03:02.010956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba263c7a169bd7776d34a486436b7a2636755200899ecf0bdffd06dfe9f4205d

Aliases

arxiv: 1103.0023 · arxiv_version: 1103.0023v1 · doi: 10.48550/arxiv.1103.0023 · pith_short_12: XITDY6QWTPLX · pith_short_16: XITDY6QWTPLXO3JU · pith_short_8: XITDY6QW

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/XITDY6QWTPLXO3JUUSDEG232EY \
  | 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: ba263c7a169bd7776d34a486436b7a2636755200899ecf0bdffd06dfe9f4205d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfc3cbe2d612cc30405265ceb09f8fe8c18a33d6c163f4e2d45a08bcdb6c0f0a",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-28T21:12:34Z",
    "title_canon_sha256": "d82291444f0171d66ce8992086018d822118129325ed1bf0e6f9c19a5edee1d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0023",
    "kind": "arxiv",
    "version": 1
  }
}