Pith Number

pith:TJ4FS2GR

pith:2018:TJ4FS2GRRT7KHL4YOJ624GY4VI

not attested not anchored not stored refs pending

Upscaling Singular Sources in Weighted Sobolev Spaces by Sub-Grid Corrections

Donald L. Brown, Joscha Gedicke

arxiv:1802.02460 v1 · 2018-02-06 · 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{TJ4FS2GRRT7KHL4YOJ624GY4VI}

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	2026-05-18T00:24:08.228506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a785968d18cfea3af98727dae1b1caa30a7c0a9a8e1b45afb09251212ef5acf

Aliases

arxiv: 1802.02460 · arxiv_version: 1802.02460v1 · doi: 10.48550/arxiv.1802.02460 · pith_short_12: TJ4FS2GRRT7K · pith_short_16: TJ4FS2GRRT7KHL4Y · pith_short_8: TJ4FS2GR

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/TJ4FS2GRRT7KHL4YOJ624GY4VI \
  | 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: 9a785968d18cfea3af98727dae1b1caa30a7c0a9a8e1b45afb09251212ef5acf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4beb7afc9f21bce042948138b939ee256aa3dd87e19128bcfb987cd49ac4e2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-02-06T15:19:14Z",
    "title_canon_sha256": "d342c6ea2c6828c7e4e9758ea5e0435e211173a41754231f05423ed417acec3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.02460",
    "kind": "arxiv",
    "version": 1
  }
}