Pith Number

pith:PMW7MJBH

pith:2013:PMW7MJBHHBNSZ6Z5BBVGTQ6AFB

not attested not anchored not stored refs pending

Multigrid algorithms for $hp$-Discontinuous Galerkin discretizations of elliptic problems

M. Sarti, M. Verani, P. F. Antonietti

arxiv:1310.6573 v4 · 2013-10-24 · 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{PMW7MJBHHBNSZ6Z5BBVGTQ6AFB}

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	2026-05-18T03:05:57.410295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b2df62427385b2cfb3d086a69c3c0284a30aa0476a60d71fc34bc6bc452e791

Aliases

arxiv: 1310.6573 · arxiv_version: 1310.6573v4 · doi: 10.48550/arxiv.1310.6573 · pith_short_12: PMW7MJBHHBNS · pith_short_16: PMW7MJBHHBNSZ6Z5 · pith_short_8: PMW7MJBH

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/PMW7MJBHHBNSZ6Z5BBVGTQ6AFB \
  | 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: 7b2df62427385b2cfb3d086a69c3c0284a30aa0476a60d71fc34bc6bc452e791

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52e7a482603c484953a8daf457a687a4b2627a25e713bdb226e14a05dce515f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-10-24T11:51:59Z",
    "title_canon_sha256": "1c7aad8f8fd8ee2ec1a640ed54ceb799a50cde887b97796de33be319686f0ec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6573",
    "kind": "arxiv",
    "version": 4
  }
}