Pith Number

pith:6PUPWKGQ

pith:2006:6PUPWKGQXPOYHITPIXZPVNYKTN

not attested not anchored not stored refs pending

Error of Tikhonov's regularization for integral convolution equations

Dang Duc Trong, Truong Trung Tuyen

arxiv:math/0610046 v2 · 2006-10-01 · 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{6PUPWKGQXPOYHITPIXZPVNYKTN}

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	2026-06-03T22:06:20.671386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3e8fb28d0bbdd83a26f45f2fab70a9b6a34e52bc92ee728cf6ec4464335022c

Aliases

arxiv: math/0610046 · arxiv_version: math/0610046v2 · doi: 10.48550/arxiv.math/0610046 · pith_short_12: 6PUPWKGQXPOY · pith_short_16: 6PUPWKGQXPOYHITP · pith_short_8: 6PUPWKGQ

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/6PUPWKGQXPOYHITPIXZPVNYKTN \
  | 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: f3e8fb28d0bbdd83a26f45f2fab70a9b6a34e52bc92ee728cf6ec4464335022c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe34c3ac47ab42ffcfea7ed5151a218a2f89d3870ea21e2b38dd15e72fc1dd53",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2006-10-01T14:47:05Z",
    "title_canon_sha256": "668a455b05eacfb3a6505fff01b5b70bb26887ccc04aa1f6902b00e502bd7ac3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610046",
    "kind": "arxiv",
    "version": 2
  }
}