Pith Number

pith:XWE5NSZS

pith:2012:XWE5NSZSC7LGCWJY2O65OVOCJB

not attested not anchored not stored refs pending

Corrector Analysis of a Heterogeneous Multi-scale Scheme for Elliptic Equations with Random Potential

Guillaume Bal, Wenjia Jing

arxiv:1209.4974 v2 · 2012-09-22 · math.NA · 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{XWE5NSZSC7LGCWJY2O65OVOCJB}

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	2026-05-17T23:53:18.446348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd89d6cb3217d6615938d3bdd755c248689c39d4c1dda816708adb8c38b18e19

Aliases

arxiv: 1209.4974 · arxiv_version: 1209.4974v2 · doi: 10.48550/arxiv.1209.4974 · pith_short_12: XWE5NSZSC7LG · pith_short_16: XWE5NSZSC7LGCWJY · pith_short_8: XWE5NSZS

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/XWE5NSZSC7LGCWJY2O65OVOCJB \
  | 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: bd89d6cb3217d6615938d3bdd755c248689c39d4c1dda816708adb8c38b18e19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78bb357a13ab22ce9d9b439d7b4e0cf46cb1ef779fbd1422b78eb0485f5acc23",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-09-22T09:19:36Z",
    "title_canon_sha256": "2707c7ca7c8890bdaf8080464913c4e5c94895b02f43a7d9b83d45f157916ca2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4974",
    "kind": "arxiv",
    "version": 2
  }
}