Pith Number

pith:7MGPMDH4

pith:2018:7MGPMDH4ZKBPWQXIEJPSGAUCOD

not attested not anchored not stored refs pending

A note on the trace theorem for Besov-type spaces of generalized smoothness on $d$-sets

Vanja Wagner

arxiv:1803.09986 v1 · 2018-03-27 · 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{7MGPMDH4ZKBPWQXIEJPSGAUCOD}

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	2026-05-18T00:20:00.797238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb0cf60cfcca82fb42e8225f23028270c761c28dccc26a475b6038a905c4e9e9

Aliases

arxiv: 1803.09986 · arxiv_version: 1803.09986v1 · doi: 10.48550/arxiv.1803.09986 · pith_short_12: 7MGPMDH4ZKBP · pith_short_16: 7MGPMDH4ZKBPWQXI · pith_short_8: 7MGPMDH4

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/7MGPMDH4ZKBPWQXIEJPSGAUCOD \
  | 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: fb0cf60cfcca82fb42e8225f23028270c761c28dccc26a475b6038a905c4e9e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f25ccaa15e386bb3f048a48b363bacf17d5b6e89ea1ca5fe17e8772c9d278d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-03-27T09:38:53Z",
    "title_canon_sha256": "86730ffcdaf1deeae8a1deb2e268c6067a46e9167e76c0ffc0c777aea1e1152a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09986",
    "kind": "arxiv",
    "version": 1
  }
}