Pith Number

pith:KON3CCYG

pith:2021:KON3CCYGH5YTYA4TV6SWF2X7HT

not attested not anchored not stored refs pending

Interpolation Operator on negative Sobolev Spaces

Johannes Storn, Lars Diening, Tabea Tscherpel

arxiv:2112.08515 v2 · 2021-12-15 · 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{KON3CCYGH5YTYA4TV6SWF2X7HT}

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	2026-06-09T01:05:02.164010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

539bb10b063f713c0393afa562eaff3cefa5787804ea6704ea93bd43ff64a97b

Aliases

arxiv: 2112.08515 · arxiv_version: 2112.08515v2 · doi: 10.48550/arxiv.2112.08515 · pith_short_12: KON3CCYGH5YT · pith_short_16: KON3CCYGH5YTYA4T · pith_short_8: KON3CCYG

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/KON3CCYGH5YTYA4TV6SWF2X7HT \
  | 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: 539bb10b063f713c0393afa562eaff3cefa5787804ea6704ea93bd43ff64a97b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "375ebc77e9d187ef10f299945e8104aa765ee2fb4f4d5e10287ccd0fdeb8f002",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-12-15T22:46:49Z",
    "title_canon_sha256": "71cd0b1b049cf24196fa6fd93e8bdeac9b7b47184de6ebef9e30d8c4dfe310d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.08515",
    "kind": "arxiv",
    "version": 2
  }
}