Pith Number

pith:YZRJU2SB

pith:2016:YZRJU2SBLWYPQBVIOHXSPYLRBT

not attested not anchored not stored refs pending

Sobolev Spaces of Fractional Order, Lipschitz Spaces, Readapted Modulation Spaces and Their Interrelations; Applications

Gerhard Schmeisser, Paul L. Butzer, Rudolf L. Stens

arxiv:1605.02777 v1 · 2016-05-04 · math.CA · 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{YZRJU2SBLWYPQBVIOHXSPYLRBT}

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	2026-05-18T01:15:13.166903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6629a6a415db0f806a871ef27e1710ccbaf5b05124f22e61379b94fd92f0392

Aliases

arxiv: 1605.02777 · arxiv_version: 1605.02777v1 · doi: 10.48550/arxiv.1605.02777 · pith_short_12: YZRJU2SBLWYP · pith_short_16: YZRJU2SBLWYPQBVI · pith_short_8: YZRJU2SB

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/YZRJU2SBLWYPQBVIOHXSPYLRBT \
  | 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: c6629a6a415db0f806a871ef27e1710ccbaf5b05124f22e61379b94fd92f0392

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22af89f702972ccd2ed9b3aae562f0e1f6edeef4393490009dfb0600d98f021a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-05-04T15:09:07Z",
    "title_canon_sha256": "e958516090258ecde492239efbacf372ea3f58043df5162c9ecb9814ee077df0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02777",
    "kind": "arxiv",
    "version": 1
  }
}