Pith Number

pith:VQVI2UN4

pith:2017:VQVI2UN4FKDBBSAIKHUWCXIXNV

not attested not anchored not stored refs pending

Quadratic forms and Sobolev spaces of fractional order

Kai-Uwe Bux, Moritz Kassmann, Tim Schulze

arxiv:1707.09277 v1 · 2017-07-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQVI2UN4FKDBBSAIKHUWCXIXNV}

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	2026-05-17T23:48:02.326047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac2a8d51bc2a8610c80851e9615d176d4d854ef9cdcb34c7a2003583c4bafaf5

Aliases

arxiv: 1707.09277 · arxiv_version: 1707.09277v1 · doi: 10.48550/arxiv.1707.09277 · pith_short_12: VQVI2UN4FKDB · pith_short_16: VQVI2UN4FKDBBSAI · pith_short_8: VQVI2UN4

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/VQVI2UN4FKDBBSAIKHUWCXIXNV \
  | 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: ac2a8d51bc2a8610c80851e9615d176d4d854ef9cdcb34c7a2003583c4bafaf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04c34958f866f25b423f602b126c5f3c2cb7b3d9a03d4841d8697fb8e8830b60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-28T15:19:47Z",
    "title_canon_sha256": "86001bf9a6a6898a895d95a942804e12e0d2fe67662f3173609ab5b3914d61a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09277",
    "kind": "arxiv",
    "version": 1
  }
}