Pith Number

pith:OO5BDID5

pith:2016:OO5BDID5GQXWGWUTTG27TVJVES

not attested not anchored not stored refs pending

Least-squares spectral element preconditioners for fourth order elliptic problems

Akhlaq Husain, Arbaz Khan

arxiv:1608.08416 v1 · 2016-08-30 · 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{OO5BDID5GQXWGWUTTG27TVJVES}

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	2026-05-18T01:07:18.192566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73ba11a07d342f635a9399b5f9d5352488d910fb4576b9fa6ef57448d24737ee

Aliases

arxiv: 1608.08416 · arxiv_version: 1608.08416v1 · doi: 10.48550/arxiv.1608.08416 · pith_short_12: OO5BDID5GQXW · pith_short_16: OO5BDID5GQXWGWUT · pith_short_8: OO5BDID5

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/OO5BDID5GQXWGWUTTG27TVJVES \
  | 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: 73ba11a07d342f635a9399b5f9d5352488d910fb4576b9fa6ef57448d24737ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c17be9d899f95535fab9adaa683f83ad9f4b5ccde70ab82c897f82b7da5aeee5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-08-30T12:22:30Z",
    "title_canon_sha256": "7044cbf174487ad19aa85d68f2c8192e2db5df5ca969674ea3010d9f512edcc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08416",
    "kind": "arxiv",
    "version": 1
  }
}