Pith Number

pith:PADCITOQ

pith:2012:PADCITOQPLKSXHZMZ2IT7Y5L5D

not attested not anchored not stored refs pending

Comparative Convergence Analysis of Nonlinear AMLI-cycle Multigrid

Jinchao Xu, Panayot S. Vassilevski, Xiaozhe Hu

arxiv:1202.1987 v2 · 2012-02-09 · 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{PADCITOQPLKSXHZMZ2IT7Y5L5D}

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	2026-05-18T03:33:37.901827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7806244dd07ad52b9f2cce913fe3abe8f143dd0a1246b0496cf4deb59f6c7c4e

Aliases

arxiv: 1202.1987 · arxiv_version: 1202.1987v2 · doi: 10.48550/arxiv.1202.1987 · pith_short_12: PADCITOQPLKS · pith_short_16: PADCITOQPLKSXHZM · pith_short_8: PADCITOQ

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/PADCITOQPLKSXHZMZ2IT7Y5L5D \
  | 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: 7806244dd07ad52b9f2cce913fe3abe8f143dd0a1246b0496cf4deb59f6c7c4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3838af47a94ab43f94d6e2d977547605b5c297c780b63f4975bb5e61f4a27b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-02-09T13:51:20Z",
    "title_canon_sha256": "9d267eb9668772137eb4a84e3ef9456c06289b84a02dc446c002b3890498e382"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1987",
    "kind": "arxiv",
    "version": 2
  }
}