Pith Number

pith:2VZL6TLK

pith:2020:2VZL6TLKKE7FYL45NSA3YW4Y3B

not attested not anchored not stored refs pending

New bounds on the condition number of the Hessian of the preconditioned variational data assimilation problem

Amos S. Lawless, Jemima M. Tabeart, Joanne A. Waller, Nancy K. Nichols, Sarah L. Dance

arxiv:2010.08416 v2 · 2020-10-16 · math.NA · cs.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{2VZL6TLKKE7FYL45NSA3YW4Y3B}

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	2026-07-05T02:42:02.406663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d572bf4d6a513e5c2f9d6c81bc5b98d87c601681b46169876539c9476f90f65a

Aliases

arxiv: 2010.08416 · arxiv_version: 2010.08416v2 · doi: 10.48550/arxiv.2010.08416 · pith_short_12: 2VZL6TLKKE7F · pith_short_16: 2VZL6TLKKE7FYL45 · pith_short_8: 2VZL6TLK

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/2VZL6TLKKE7FYL45NSA3YW4Y3B \
  | 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: d572bf4d6a513e5c2f9d6c81bc5b98d87c601681b46169876539c9476f90f65a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8387b18538c32f278b06a42e19a09130bef1b94c46e8dd2d2dca79181eb42512",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-10-16T14:31:26Z",
    "title_canon_sha256": "9261ec1fdd6d7d0fd6e47eceb6425f701e901508f7e6ba8129c2f91c1e7cb2e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.08416",
    "kind": "arxiv",
    "version": 2
  }
}