Pith Number

pith:PQ6IMJV2

pith:2020:PQ6IMJV2KIJVJ54IZ45CXKECPD

not attested not anchored not stored refs pending

Multiscale Elliptic PDEs Upscaling and Function Approximation via Subsampled Data

Thomas Y. Hou, Yifan Chen

arxiv:2010.04199 v2 · 2020-10-08 · 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{PQ6IMJV2KIJVJ54IZ45CXKECPD}

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	2026-07-05T03:26:13.780660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c3c8626ba521354f788cf3a2ba88278ed4025055536fc7be6affd0819f05a89

Aliases

arxiv: 2010.04199 · arxiv_version: 2010.04199v2 · doi: 10.48550/arxiv.2010.04199 · pith_short_12: PQ6IMJV2KIJV · pith_short_16: PQ6IMJV2KIJVJ54I · pith_short_8: PQ6IMJV2

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/PQ6IMJV2KIJVJ54IZ45CXKECPD \
  | 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: 7c3c8626ba521354f788cf3a2ba88278ed4025055536fc7be6affd0819f05a89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac2969fdcc7e439a7a4aa94b740439fff0d24331ef89b9046ea1ee0faa2f8e85",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-10-08T18:25:47Z",
    "title_canon_sha256": "533ca1a6e770ceb9bda2cd04e68698d9fd8d1b05788b2fef3f550b3764de98d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.04199",
    "kind": "arxiv",
    "version": 2
  }
}