Pith Number

pith:GD7CBN5I

pith:2014:GD7CBN5ILP2IBMC5BOCIZGNIXN

not attested not anchored not stored refs pending

A Nearly Optimal Multigrid Method for General Unstructured Grids

Jinchao Xu, Lars Grasedyck, Lu Wang

arxiv:1410.2153 v1 · 2014-10-08 · 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{GD7CBN5ILP2IBMC5BOCIZGNIXN}

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	2026-05-18T02:40:48.070359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30fe20b7a85bf480b05d0b848c99a8bb4077a37d26839f24ea05d11e43672f3d

Aliases

arxiv: 1410.2153 · arxiv_version: 1410.2153v1 · doi: 10.48550/arxiv.1410.2153 · pith_short_12: GD7CBN5ILP2I · pith_short_16: GD7CBN5ILP2IBMC5 · pith_short_8: GD7CBN5I

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/GD7CBN5ILP2IBMC5BOCIZGNIXN \
  | 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: 30fe20b7a85bf480b05d0b848c99a8bb4077a37d26839f24ea05d11e43672f3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26fda8fd9a8d2919ad2833a45b50bec719266958aa291dd82fa26a822297adbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-10-08T15:01:36Z",
    "title_canon_sha256": "bb63243f8bd1c4cf06e29e01cd21da45319e4ef84b716457f62e11ffe3aaa6ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2153",
    "kind": "arxiv",
    "version": 1
  }
}