Pith Number

pith:F6PE5OJ2

pith:2012:F6PE5OJ2B7UJRB6EYESGJSHLPO

not attested not anchored not stored refs pending

A Symmetry-based Decomposition Approach to Eigenvalue Problems: Formulation, Discretization, and Implementation

Aihui Zhou, Jun Fang, Xingyu Gao

arxiv:1207.1854 v2 · 2012-07-08 · 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{F6PE5OJ2B7UJRB6EYESGJSHLPO}

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	2026-05-18T03:40:49.308749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f9e4eb93a0fe89887c4c12464c8eb7ba2b67da848ab0d2367ef9e071d621781

Aliases

arxiv: 1207.1854 · arxiv_version: 1207.1854v2 · doi: 10.48550/arxiv.1207.1854 · pith_short_12: F6PE5OJ2B7UJ · pith_short_16: F6PE5OJ2B7UJRB6E · pith_short_8: F6PE5OJ2

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/F6PE5OJ2B7UJRB6EYESGJSHLPO \
  | 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: 2f9e4eb93a0fe89887c4c12464c8eb7ba2b67da848ab0d2367ef9e071d621781

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ed1895274043a60db34263fdce4ddd3b9366ff316a2cc5776d3832964e6bc78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-07-08T08:47:12Z",
    "title_canon_sha256": "f68356df55116d34d0a653ea23a92cfc5468b1708a192cef88d5ac415d0f7b73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1854",
    "kind": "arxiv",
    "version": 2
  }
}