Pith Number

pith:VCDNFELC

pith:2013:VCDNFELCYORNTQ44ENDZYFQJJR

not attested not anchored not stored refs pending

A direct solver with O(N) complexity for variable coefficient elliptic PDEs discretized via a high-order composite spectral collocation method

A. Gillman, P.G. Martinsson

arxiv:1307.2665 v1 · 2013-07-10 · 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{VCDNFELCYORNTQ44ENDZYFQJJR}

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	2026-05-18T03:18:50.807814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a886d29162c3a2d9c39c23479c16094c630da54f4c20c480357ae9251e73b6b0

Aliases

arxiv: 1307.2665 · arxiv_version: 1307.2665v1 · doi: 10.48550/arxiv.1307.2665 · pith_short_12: VCDNFELCYORN · pith_short_16: VCDNFELCYORNTQ44 · pith_short_8: VCDNFELC

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/VCDNFELCYORNTQ44ENDZYFQJJR \
  | 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: a886d29162c3a2d9c39c23479c16094c630da54f4c20c480357ae9251e73b6b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe37dd01de565e4a885f18533d9fe1862ab33779ea24082108ed81d0138af2ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-07-10T04:04:00Z",
    "title_canon_sha256": "3698c01e5acee287cb59812b97064dbe34f97dccc2e634e34fe22f9cfc02ba0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2665",
    "kind": "arxiv",
    "version": 1
  }
}