Pith Number

pith:GP5KFREE

pith:2017:GP5KFREEHCRVQIBBYFH7VXN5H4

not attested not anchored not stored refs pending

Flexibly imposing periodicity in kernel independent FMM: A Multipole-To-Local operator approach

Michael Shelley, Wen Yan

arxiv:1705.02043 v4 · 2017-05-04 · 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{GP5KFREEHCRVQIBBYFH7VXN5H4}

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	2026-05-18T00:05:46.330717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33faa2c48438a3582021c14ffaddbd3f22ebc785ba32f522f8f91d7b42a7caaf

Aliases

arxiv: 1705.02043 · arxiv_version: 1705.02043v4 · doi: 10.48550/arxiv.1705.02043 · pith_short_12: GP5KFREEHCRV · pith_short_16: GP5KFREEHCRVQIBB · pith_short_8: GP5KFREE

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/GP5KFREEHCRVQIBBYFH7VXN5H4 \
  | 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: 33faa2c48438a3582021c14ffaddbd3f22ebc785ba32f522f8f91d7b42a7caaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e0183c9c8f881de611d64f22ef15a3467d0111d5c0b1594608029ff8b7f2ca9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-05-04T22:55:12Z",
    "title_canon_sha256": "8827c6d1d936082ab1ca0056eaa09505bc12fcea605bef698fab88acbed8ee92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02043",
    "kind": "arxiv",
    "version": 4
  }
}