Pith Number

pith:4GOLYLIM

pith:2010:4GOLYLIM6I26VGOOB2C7PA2DVS

not attested not anchored not stored refs pending

Multilevel Preconditioners for Discontinuous Galerkin Approximations of Elliptic Problems with Jump Coefficients

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

arxiv:1012.1287 v2 · 2010-12-06 · 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{4GOLYLIM6I26VGOOB2C7PA2DVS}

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	2026-05-18T02:23:15.091890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e19cbc2d0cf235ea99ce0e85f78343ac8ffac606591c9d9153e0a6849ab9cd55

Aliases

arxiv: 1012.1287 · arxiv_version: 1012.1287v2 · doi: 10.48550/arxiv.1012.1287 · pith_short_12: 4GOLYLIM6I26 · pith_short_16: 4GOLYLIM6I26VGOO · pith_short_8: 4GOLYLIM

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/4GOLYLIM6I26VGOOB2C7PA2DVS \
  | 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: e19cbc2d0cf235ea99ce0e85f78343ac8ffac606591c9d9153e0a6849ab9cd55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d675995d39c3daf161ec379d319e96e1b5e78c2f8795fcd7ae499967dfa3053b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-12-06T19:11:49Z",
    "title_canon_sha256": "747374d94d750f76b4f267048d31b0b67c2e1b6a5f2288a5a42507d7e116f936"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1287",
    "kind": "arxiv",
    "version": 2
  }
}