Pith Number

pith:HFJR5AIE

pith:2009:HFJR5AIEUQOP2EPBSZJS6DWGDI

not attested not anchored not stored refs pending

Fredholm Perturbation of Spectra of $2\times 2$ Upper Triangular Matrix

Wu Junde, Zhang Shifang, Zhong Huaijie

arxiv:0906.5056 v1 · 2009-06-27 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HFJR5AIEUQOP2EPBSZJS6DWGDI}

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	2026-05-18T00:31:05.855808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39531e8104a41cfd11e196532f0ec61a1d98cd3926318c36d79736ac46912d74

Aliases

arxiv: 0906.5056 · arxiv_version: 0906.5056v1 · doi: 10.48550/arxiv.0906.5056 · pith_short_12: HFJR5AIEUQOP · pith_short_16: HFJR5AIEUQOP2EPB · pith_short_8: HFJR5AIE

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/HFJR5AIEUQOP2EPBSZJS6DWGDI \
  | 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: 39531e8104a41cfd11e196532f0ec61a1d98cd3926318c36d79736ac46912d74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "936dd9da6ec86e949da60207062a388062f7698cafde6d79053e201d94454afc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-06-27T09:31:42Z",
    "title_canon_sha256": "a4b9297bbd8fe6dbfcbf39ac48ecbcd3d8e952b67fb6c3f8c1081cbd5ef812b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5056",
    "kind": "arxiv",
    "version": 1
  }
}