Pith Number

pith:2ZOJRCV3

pith:2016:2ZOJRCV3RYEVXTZLNLV24FN4KT

not attested not anchored not stored refs pending

Trace and extension theorems relating Besov spaces to weighted averaged Sobolev spaces

Ariel Barton

arxiv:1604.00058 v2 · 2016-03-31 · 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{2ZOJRCV3RYEVXTZLNLV24FN4KT}

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	2026-05-18T00:39:13.583734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d65c988abb8e095bcf2b6aebae15bc54ee91df4af637a2c4dc729902e4175454

Aliases

arxiv: 1604.00058 · arxiv_version: 1604.00058v2 · doi: 10.48550/arxiv.1604.00058 · pith_short_12: 2ZOJRCV3RYEV · pith_short_16: 2ZOJRCV3RYEVXTZL · pith_short_8: 2ZOJRCV3

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/2ZOJRCV3RYEVXTZLNLV24FN4KT \
  | 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: d65c988abb8e095bcf2b6aebae15bc54ee91df4af637a2c4dc729902e4175454

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd9645d9bda2fa5b51f00ab6eed7b519b63984ed0d4dc217c5c5d3970ae6ea64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-03-31T21:38:55Z",
    "title_canon_sha256": "bb21ffa54261d0f4866cfe060be9bfb10a256ea5259a8930969834e0b4370bf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00058",
    "kind": "arxiv",
    "version": 2
  }
}