Pith Number

pith:YX2EOYFH

pith:2016:YX2EOYFH62S7G52UIPBAXQIUDH

not attested not anchored not stored refs pending

A Spectral Projection Preconditioner for Solving Ill Conditioned Linear Systems

Craig C. Douglas, Long Lee, Man-Chung Yeung

arxiv:1609.06839 v1 · 2016-09-22 · 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{YX2EOYFH62S7G52UIPBAXQIUDH}

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	2026-05-18T01:04:05.001128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5f44760a7f6a5f3775443c20bc11419d7602975e7d484465e03282d6d0cb1e4

Aliases

arxiv: 1609.06839 · arxiv_version: 1609.06839v1 · doi: 10.48550/arxiv.1609.06839 · pith_short_12: YX2EOYFH62S7 · pith_short_16: YX2EOYFH62S7G52U · pith_short_8: YX2EOYFH

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/YX2EOYFH62S7G52UIPBAXQIUDH \
  | 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: c5f44760a7f6a5f3775443c20bc11419d7602975e7d484465e03282d6d0cb1e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9c0a5fcf2cf9fff195bca6d1d0180227589147cf9d7ebfdae994552b3e1f787",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-09-22T07:06:27Z",
    "title_canon_sha256": "40bb176295be6250d08ffe92ed5c6b41aee25fa95161b61fd7e9a542f0d7860a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06839",
    "kind": "arxiv",
    "version": 1
  }
}