Pith Number

pith:MZZ5OX6V

pith:2012:MZZ5OX6VSSHQ545QISXMZQPRRD

not attested not anchored not stored refs pending

Strong Convergence to the Homogenized Limit of Parabolic Equations with Random Coefficients

Arash Fahim, Joseph G. Conlon

arxiv:1203.5345 v1 · 2012-03-23 · 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{MZZ5OX6VSSHQ545QISXMZQPRRD}

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	2026-05-18T03:59:15.294637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6673d75fd5948f0ef3b044aeccc1f188daab135a49d14b9911c8dca9c7fdcfb2

Aliases

arxiv: 1203.5345 · arxiv_version: 1203.5345v1 · doi: 10.48550/arxiv.1203.5345 · pith_short_12: MZZ5OX6VSSHQ · pith_short_16: MZZ5OX6VSSHQ545Q · pith_short_8: MZZ5OX6V

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/MZZ5OX6VSSHQ545QISXMZQPRRD \
  | 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: 6673d75fd5948f0ef3b044aeccc1f188daab135a49d14b9911c8dca9c7fdcfb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "723ae598298b11886079263282370bf0433cb5939c70b4d9cc1f030324c9dabd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-23T20:14:05Z",
    "title_canon_sha256": "faac770f5fe63a5a064329304cc8eef5af7d0d08dd2eb86266a357151a76c5f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5345",
    "kind": "arxiv",
    "version": 1
  }
}