Pith Number

pith:ZKDMXN5Z

pith:2020:ZKDMXN5ZWWZJYGTLABUTWWSAUA

not attested not anchored not stored refs pending

Adaptive multiscale model reduction for nonlinear parabolic equations using GMsFEM

Eric Chung, Shubin Fu, Yiran Wang

arxiv:2006.12959 v2 · 2020-06-23 · math.NA · cs.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{ZKDMXN5ZWWZJYGTLABUTWWSAUA}

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	2026-07-05T01:13:27.384949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca86cbb7b9b5b29c1a6b00693b5a40a03683be8f3974dfa0aaf6f7234b0d3a8c

Aliases

arxiv: 2006.12959 · arxiv_version: 2006.12959v2 · doi: 10.48550/arxiv.2006.12959 · pith_short_12: ZKDMXN5ZWWZJ · pith_short_16: ZKDMXN5ZWWZJYGTL · pith_short_8: ZKDMXN5Z

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/ZKDMXN5ZWWZJYGTLABUTWWSAUA \
  | 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: ca86cbb7b9b5b29c1a6b00693b5a40a03683be8f3974dfa0aaf6f7234b0d3a8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b6603173657197c5b796ca8d7aa436b21e0b6a99e093f3da3f078a9603f5096",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-06-23T12:55:32Z",
    "title_canon_sha256": "f3776b10c86d1927b5742a02e40a3a8012acc2dd2a0c94096fd885b0d011b3a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.12959",
    "kind": "arxiv",
    "version": 2
  }
}