Pith Number

pith:HPV5XOYD

pith:2011:HPV5XOYDYRD5QSBQSY7K5KZBSX

not attested not anchored not stored refs pending

Multigrid Preconditioner for Nonconforming Discretization of Elliptic Problems with Jump Coefficients

Blanca Ayuso De Dios, Ludmil Zikatanov, Michael Holst, Yunrong Zhu

arxiv:1107.2160 v1 · 2011-07-11 · 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{HPV5XOYDYRD5QSBQSY7K5KZBSX}

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	2026-05-18T04:18:32.785831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bebdbbb03c447d84830963eaeab2195c45034135b758df2b73f6f9f9d2582fd

Aliases

arxiv: 1107.2160 · arxiv_version: 1107.2160v1 · doi: 10.48550/arxiv.1107.2160 · pith_short_12: HPV5XOYDYRD5 · pith_short_16: HPV5XOYDYRD5QSBQ · pith_short_8: HPV5XOYD

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/HPV5XOYDYRD5QSBQSY7K5KZBSX \
  | 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: 3bebdbbb03c447d84830963eaeab2195c45034135b758df2b73f6f9f9d2582fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7efe09e0d2a1d484d7a2ecf983143f6b43313d10944d43d9c2aa3a482c9fb9e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-07-11T22:29:42Z",
    "title_canon_sha256": "8a6b94691460d94c8c894a3ecb0d59eeee7e029c4c85656456ebbc27d0d6374e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2160",
    "kind": "arxiv",
    "version": 1
  }
}