Pith Number

pith:475GLJST

pith:2012:475GLJSTLJTJNKVKAGFVZ2JM5T

not attested not anchored not stored refs pending

On Lp Estimates in Homogenization of Elliptic Equations of Maxwell's Type

Liang Song, Zhongwei Shen

arxiv:1210.7340 v1 · 2012-10-27 · 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{475GLJSTLJTJNKVKAGFVZ2JM5T}

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	2026-05-18T03:42:10.416632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7fa65a6535a6696aaaa018b5ce92cecd911f989565316b94eab9c9ccbe9a666

Aliases

arxiv: 1210.7340 · arxiv_version: 1210.7340v1 · doi: 10.48550/arxiv.1210.7340 · pith_short_12: 475GLJSTLJTJ · pith_short_16: 475GLJSTLJTJNKVK · pith_short_8: 475GLJST

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/475GLJSTLJTJNKVKAGFVZ2JM5T \
  | 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: e7fa65a6535a6696aaaa018b5ce92cecd911f989565316b94eab9c9ccbe9a666

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f59741a3d96e679afb73c83141a2dfb3a9a023a34e377e8e1ef2c585d5930b1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-27T15:52:13Z",
    "title_canon_sha256": "6f95a8ac38db72b18edd2cc74e350dbd103f4c1e469bb1a95ad5979e2bb2ca03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7340",
    "kind": "arxiv",
    "version": 1
  }
}