Pith Number

pith:BCZAWZ6Z

pith:2015:BCZAWZ6Z2ARRC4FDD5ZUW4HREN

not attested not anchored not stored refs pending

Some applications of weighted norm inequalities to the error analysis of PDE constrained optimization problems

Abner J. Salgado, Enrique Otarola, Harbir Antil

arxiv:1505.03919 v2 · 2015-05-14 · math.OC · 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{BCZAWZ6Z2ARRC4FDD5ZUW4HREN}

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	2026-05-18T01:15:38.747447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08b20b67d9d0231170a31f734b70f123783f394ecd985bc6ed404c5947bddf69

Aliases

arxiv: 1505.03919 · arxiv_version: 1505.03919v2 · doi: 10.48550/arxiv.1505.03919 · pith_short_12: BCZAWZ6Z2ARR · pith_short_16: BCZAWZ6Z2ARRC4FD · pith_short_8: BCZAWZ6Z

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/BCZAWZ6Z2ARRC4FDD5ZUW4HREN \
  | 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: 08b20b67d9d0231170a31f734b70f123783f394ecd985bc6ed404c5947bddf69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f34a7bf7f1453a3df4429308630dddb7abb50f9c979f2e7f5b5fbd96dcbd7068",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-05-14T23:30:08Z",
    "title_canon_sha256": "9ad83c8fc4c9f8f9ea051dc3b573e837b622999db80b631009b1483846ab853a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03919",
    "kind": "arxiv",
    "version": 2
  }
}