Pith Number

pith:AWXX6OBQ

pith:2019:AWXX6OBQ3AWB2XZX4VHCI3GYXI

not attested not anchored not stored refs pending

A sharp error estimate of piecewise polynomial collocation for nonlocal problems with weakly singular kernels

Jiankang Shi, Jiming Wu, Minghua Chen, Wenya Qi

arxiv:1909.10756 v1 · 2019-09-24 · 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{AWXX6OBQ3AWB2XZX4VHCI3GYXI}

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	2026-07-05T01:28:48.741793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05af7f3830d82c1d5f37e54e246cd8ba36e0b3ad8bdde65eb9b62a3f404d39b3

Aliases

arxiv: 1909.10756 · arxiv_version: 1909.10756v1 · doi: 10.48550/arxiv.1909.10756 · pith_short_12: AWXX6OBQ3AWB · pith_short_16: AWXX6OBQ3AWB2XZX · pith_short_8: AWXX6OBQ

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/AWXX6OBQ3AWB2XZX4VHCI3GYXI \
  | 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: 05af7f3830d82c1d5f37e54e246cd8ba36e0b3ad8bdde65eb9b62a3f404d39b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4945537430dd80b8388259b8ae29664fbd9a16387eaab8cb0e81015324183308",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-09-24T08:17:43Z",
    "title_canon_sha256": "2a06ea565755db3286f0262dc6400a527ad048480354ccc2538317b42a868afe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.10756",
    "kind": "arxiv",
    "version": 1
  }
}