Pith Number

pith:EFPHX53D

pith:2018:EFPHX53DT33ESBC6NJ3WN6FH4T

not attested not anchored not stored refs pending

A model reduction method for multiscale elliptic PDEs with random coefficients using an optimization approach

Dingjiong Ma, Thomas Y. Hou, Zhiwen Zhang

arxiv:1807.02394 v1 · 2018-07-06 · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EFPHX53DT33ESBC6NJ3WN6FH4T}

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	2026-05-18T00:11:22.195635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

215e7bf7639ef649045e6a7766f8a7e4ff37633506fe9729b0c02c9ffdbed162

Aliases

arxiv: 1807.02394 · arxiv_version: 1807.02394v1 · doi: 10.48550/arxiv.1807.02394 · pith_short_12: EFPHX53DT33E · pith_short_16: EFPHX53DT33ESBC6 · pith_short_8: EFPHX53D

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/EFPHX53DT33ESBC6NJ3WN6FH4T \
  | 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: 215e7bf7639ef649045e6a7766f8a7e4ff37633506fe9729b0c02c9ffdbed162

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbc2e85b455c618d718f14fca3f1ddf51bbdf9db49a2146c32b12e017e33075b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-07-06T13:16:00Z",
    "title_canon_sha256": "c0a81e348ce5dd12240f229eef71497539026346625c207aa305777ebae4f608"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02394",
    "kind": "arxiv",
    "version": 1
  }
}