Pith Number

pith:OS5KH3GR

pith:2012:OS5KH3GRHTXLNZ45R3M7NCMT6G

not attested not anchored not stored refs pending

Estimates of Eigenvalues and Eigenfunctions in Periodic Homogenization

Carlos E. Kenig, Fanghua Lin, Zhongwei Shen

arxiv:1209.5458 v1 · 2012-09-24 · 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{OS5KH3GRHTXLNZ45R3M7NCMT6G}

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	2026-05-18T03:44:48.469479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74baa3ecd13ceeb6e79d8ed9f68993f1af94a3feba5f2609641f32fab0a3ac07

Aliases

arxiv: 1209.5458 · arxiv_version: 1209.5458v1 · doi: 10.48550/arxiv.1209.5458 · pith_short_12: OS5KH3GRHTXL · pith_short_16: OS5KH3GRHTXLNZ45 · pith_short_8: OS5KH3GR

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/OS5KH3GRHTXLNZ45R3M7NCMT6G \
  | 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: 74baa3ecd13ceeb6e79d8ed9f68993f1af94a3feba5f2609641f32fab0a3ac07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c37a64ae7ce33fb5035fce7b951038e2b9b89a08a427e747f1af57dc66bf5df2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-24T23:52:38Z",
    "title_canon_sha256": "1e0ed9e4f74be4fe9b7d944a94af7d520d9197e65240390c7b17f5bc33ae7a14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5458",
    "kind": "arxiv",
    "version": 1
  }
}