Pith Number

pith:Q6EKYNSE

pith:2011:Q6EKYNSEZTH5QCRHJ5ZZQYWHXJ

not attested not anchored not stored refs pending

Stochastic Homogenization for Some Nonlinear Integro-Differential Equations

Russell W. Schwab

arxiv:1101.6052 v3 · 2011-01-31 · math.AP · cs.SY · math.OC · 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{Q6EKYNSEZTH5QCRHJ5ZZQYWHXJ}

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	2026-05-18T03:46:04.044564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8788ac3644cccfd80a274f739862c7ba41b3bb73a17736d9cc2927d7ca0aaa3f

Aliases

arxiv: 1101.6052 · arxiv_version: 1101.6052v3 · doi: 10.48550/arxiv.1101.6052 · pith_short_12: Q6EKYNSEZTH5 · pith_short_16: Q6EKYNSEZTH5QCRH · pith_short_8: Q6EKYNSE

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/Q6EKYNSEZTH5QCRHJ5ZZQYWHXJ \
  | 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: 8788ac3644cccfd80a274f739862c7ba41b3bb73a17736d9cc2927d7ca0aaa3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ce48516f1443396af49be8e6b6fc303c5119f2f7dfddcb8fa79b93b7c892e02",
    "cross_cats_sorted": [
      "cs.SY",
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-31T19:28:09Z",
    "title_canon_sha256": "2d159cc06939059ce506028b5c9e4634f4a766b005c6be7483928032ca1cb842"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.6052",
    "kind": "arxiv",
    "version": 3
  }
}