Pith Number

pith:3C45L5WV

pith:2006:3C45L5WVOQIUB2NPZWVFKZFY6G

not attested not anchored not stored refs pending

Fischer Decomposition for Difference Dirac Operators

Nelson Faustino, Uwe Kaehler

arxiv:math/0609823 v1 · 2006-09-29 · math.CV · 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{3C45L5WVOQIUB2NPZWVFKZFY6G}

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	2026-05-18T04:28:45.980592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8b9d5f6d5741140e9afcdaa5564b8f1979f949c7c2d810e596435dd54f56a35

Aliases

arxiv: math/0609823 · arxiv_version: math/0609823v1 · doi: 10.48550/arxiv.math/0609823 · pith_short_12: 3C45L5WVOQIU · pith_short_16: 3C45L5WVOQIUB2NP · pith_short_8: 3C45L5WV

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/3C45L5WVOQIUB2NPZWVFKZFY6G \
  | 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: d8b9d5f6d5741140e9afcdaa5564b8f1979f949c7c2d810e596435dd54f56a35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b681255a043944312314f4ef3b84229106aba67895d8eae7d3f8386d4103a32d",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2006-09-29T16:13:12Z",
    "title_canon_sha256": "6f2cc2caad977c01bf06c55a68d6432af57de0eca80856eb9f64c9dc5b19e0a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609823",
    "kind": "arxiv",
    "version": 1
  }
}