Pith Number

pith:Z45YV7YT

pith:2019:Z45YV7YT4WPQVHVA3H3YTN4MYY

not attested not anchored not stored refs pending

Asymptotically compatible reproducing kernel collocation and meshfree integration for nonlocal diffusion

John T. Foster, Nathaniel Trask, Xiaochuan Tian, Yu Leng

arxiv:1907.12031 v3 · 2019-07-28 · 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{Z45YV7YT4WPQVHVA3H3YTN4MYY}

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	2026-07-05T01:29:26.742145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf3b8aff13e59f0a9ea0d9f789b78cc605bef5d65c7a026be2ae9a4f5deba3fd

Aliases

arxiv: 1907.12031 · arxiv_version: 1907.12031v3 · doi: 10.48550/arxiv.1907.12031 · pith_short_12: Z45YV7YT4WPQ · pith_short_16: Z45YV7YT4WPQVHVA · pith_short_8: Z45YV7YT

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/Z45YV7YT4WPQVHVA3H3YTN4MYY \
  | 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: cf3b8aff13e59f0a9ea0d9f789b78cc605bef5d65c7a026be2ae9a4f5deba3fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48671edadc61df291869664171f2b96b03f70fc8939db7b7ebffb8717c99cbd8",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-07-28T07:20:57Z",
    "title_canon_sha256": "fc3f4e92c58bcf250d4a5a2776a9d959506df19eaa774186e7198afe394945d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.12031",
    "kind": "arxiv",
    "version": 3
  }
}