Pith Number

pith:MP2H3DBR

pith:2018:MP2H3DBRKT6SCZLXDXAYDLS6MV

not attested not anchored not stored refs pending

A fast solver for spectral element approximation applied to fractional differential equations using hierarchical matrix approximation

Fangying Song, George Em Karniadakis, Hong Wang, Xianjuan Li, Zhiping Mao

arxiv:1808.02937 v1 · 2018-08-08 · 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{MP2H3DBRKT6SCZLXDXAYDLS6MV}

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	2026-05-18T00:08:30.619331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63f47d8c3154fd2165771dc181ae5e6549441aa959022a3b266b7d7c660f6146

Aliases

arxiv: 1808.02937 · arxiv_version: 1808.02937v1 · doi: 10.48550/arxiv.1808.02937 · pith_short_12: MP2H3DBRKT6S · pith_short_16: MP2H3DBRKT6SCZLX · pith_short_8: MP2H3DBR

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/MP2H3DBRKT6SCZLXDXAYDLS6MV \
  | 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: 63f47d8c3154fd2165771dc181ae5e6549441aa959022a3b266b7d7c660f6146

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06314f9f4fef63c72557b6fdc96568b273c65babf4306c00e71f97d2911a0fc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-08-08T20:57:11Z",
    "title_canon_sha256": "126a23ae004a3bf9efcb470ea30320caa1a765ae5a59182b9c20ad617794af4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02937",
    "kind": "arxiv",
    "version": 1
  }
}